Given the parent function f(x)=|x|, write the equation of the function g(x) whose graph is pictured
F(x) =|x|g(x)
G(x)= ????
Answers
By analyzing the graph of the transformed function, we can see that:
g(x) = 2*|x - 2| - 4
How to get the function g(x)?
In the image we have two graphs, the yellow one is the graph of g(x).
First, analyzing the vertex we can see the translation used, you need to remember:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is negative, the shift is to the right.Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
If N is positive, the shift is upwards.If N is negative, the shift is downwards.We can see that the new vertex is at (2, -4), so the translation is 2 units to the right and 4 units down, then we have:
g(x) = |x - 2| - 4
Now, you also can see that the yellow function is narrower, such that for each increase in the x-unit, we have an increase of 2 in the y-axis, then we need to multiply by 2 the absolute value part:
g(x) = 2*|x - 2| - 4
This is the transformed function.
If you want to learn more about transformations, you can read:
https://brainly.com/question/4289712
Related Questions
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What is the range of the following numbers?
12, 20,18,25,6
A. 5
B. 16 1/5
C. 18
D. 19
E. 25
Answers
Answer:
D
Step-by-step explanation:
The range is subtracting the largest number and the smallest number.
largest number: 25
smallest number: 6
Range: 25 - 6 = 19
What is 5 * 5 yeehaw new chaatatattatat
Answers
Answer:
25 yeehawwwww
Step-by-step explanation:
Select the correct answer.
Selim Is ordering concrete spheres to place as barriers in the city park. The spheres cost $2 per square foot and Selim can spend $20 per
sphere. What is the maximum diameter of the spheres he can purchase?
OA 1.78 ft
ОВ.
1.59 ft
OC. 0.89 ft
OD. 3.56 ft
Reset
Next
2 Edmentum. All rights reserved.
INTL 11:41
Answers
Answer:
I think the answer is 1.78
Step-by-step explanation:
The diameter of the sphere will be equal to 4.59 feet.
What is a sphere?
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
Given that:-
The spheres cost $2 per square foot and Selim can spend $20 per sphere. What is the maximum diameter of the spheres he can purchase?The area of the sphere will be = 20 / 2 = 10 square feet
The diameter of the sphere will be calculated as:-
Area = 4 π r
10 = 4 π r
r = 10 / ( 4 π )
r = 0.79 feet
D = 2r = 2 x 0.79 = 1.59 feet
Therefore the diameter of the sphere will be equal to 4.59 feet.
To know more about a surface area follow
https://brainly.com/question/25292087
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A strawberry shake recipe that makes six glasses cost for two pints of strawberries if you wanted to make 30 glasses of shake how many pints would you need
Answers
Answer:
10
Step-by-step explanation:
based on the info we have, calculate:
30 x 2 / 6
reduce the fraction 5 x 2
answer: 10
Lena used a total of 3 5/6 gallons of gas while driving her car. Each hour she was driving, she used 7/9 gallons of gas. What was the total number of hours she was driving?
Answers
Step-by-step explanation:
3 x 5/6 = 2.5 gallons of gas used
7/9 galllons per 1 hour
Hence if she used 2.5 gallons,
2.5 ÷ 7/9 =
[tex]3 \frac{3}{14} hours[/tex]
( 1 + 1 ) + ( 1 + 1 ) in standard form
Answers
Answer:
4
Step-by-step explanation:
Standard form, in other words, is when it is fully simplified.
[Given]
( 1 + 1 ) + ( 1 + 1 )
[Add what it is the parentheses]
( 2 ) + ( 2 )
2 + 2
[Add 2 and 2 together]
4
Answer:
.4x10^1
Step-by-step explanation:
2+2+4
4 in standard form=.4x10^1
brainliest appreciated hope this helps!!
A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?
O 2y = 16x +14
O y = 8x - 7
O y = -8x + 7
O 2y = -16x - 14
Answers
Answer: y=8x-7 just took the quiz hope that helps
The other equation could be y = 8x - 7
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
to determine the other equation:
The first equation is given as:
y = 8x + 7
For the system of equation to have no solution, then the equations in the system would have different constant values.
Take for instance:
y = 8x + b
Where:
b is a constant not equal to 7
From the options, we have:
y = 8x - 7
Notice that -7 and 7 are not the same
Hence, the other equation could be y = 8x - 7
Read more about system of equations at:
brainly.com/question/13729904
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which of these expressions or phrases can be used to represent the model brainly choose al the correct answers.
Answers
Answer:
1/6 x 3 and 1/6 of 3 and the product is 1/2.
Step-by-step explanation:
I did it on i-ready and I got it right
[tex]\frac{1}{6}\cdot3\\[/tex][tex]\frac{1}{6}\ of\ 3[/tex]Number of sixths in 3.
The models shows 1 of the 6 parts of the length 3.
So the expressions or phrases that can be represented by the model are:
[tex]\frac{1}{6}\cdot3\\[/tex][tex]\frac{1}{6}\ of\ 3[/tex]Number of sixths in 3.Learn more about fractions: https://brainly.com/question/78672
Write 1011.1012 in normalized exponential form.
Answers
[tex]1011.101_2[/tex] in a normalized exponential form is written as [tex]0.1011101 \times 2 ^4[/tex]
Given the following data:
[tex]1011.101_2[/tex]A normalized exponential form.In Computer technology, binary numbers like decimal numbers in mathematics can be written in an exponential form and it involves the use of powers of two (2) rather than powers of ten (10).
Additionally, all non-zero binary numbers have a unique normalized exponential form and their binary point must always appear before the first one (1) bit, which yields a unique integer (exponent) and a unique mantissa respectively.
Thus, the normalized exponential form for the given binary number is written as follows:
[tex]1011.101_2 = 0.1011101 \times 2 ^4[/tex]
Note:
Exponent = 4.Mantissa = 0.1011101.Read more on binary numbers here: https://brainly.com/question/5381889
Need help with my Math homework
Answers
Answer:
Step-by-step explanation:
Can some help me please
Answers
Answer: 2/10
Step-by-step explanation:
Multiply each X value by the probability it happens. This gives 0(10/10)+1(2/10)=2/10
Explain why the scale from ABC to DEF could be 1:3
Answers
Answer:
Don't really know
Step-by-step explanation:
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if f(x) = x + 7 and g(x) = 1 / x - 13, whaf is the domain of (f°g)(x)?
Answers
Answer: Choice D) x can be anything but 13
========================================================
Explanation:
The domain of [tex](f \circ g)(x) = f(g(x))[/tex] is the same as the domain of g(x)
The domain for g(x) is [tex]\{x|x \ne 13\}[/tex] saying we can plug in any number we want as long as it's not 13. This is to avoid dividing by zero. The same domain applies for the composite function because
[tex]f(x) = x+7\\\\\\f(g(x)) = g(x)+7\\\\\\f(g(x)) = \frac{1}{x-13}+7\\\\\\(f \circ g)(x) = \frac{1}{x-13}+7\\\\\\[/tex]
and we can see that we still need to kick out x = 13 from the domain to avoid the division by zero issue.
I need help with a math problem
Answers
Answer:
1 1/2: 3 more dash lines after 1
2 1/6: one more dash line after 2
Step-by-step explanation:
Find the value of m<3 - m<1
Answers
Answer:
if this is the image then the answer would be B.
Step-by-step explanation:
pls do this for me pls I need it for my homework do it in a PowerPoint and show me it
Answers
Answer:
i might need more info unless this is the only questions
Step-by-step explanation:
I'm not sure what it means by "define the types of linear" (maybe theres a given function?), but to find the x intercept you need to make y 0. For example:
if we have a function
f(x) = 2x + 1
and we want to find the x intercept we substitute 0 to y
0 = 2x + 1
not
f(0) = ......
Answer:
To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’. How do you find the Y intercept in a word problem? When a word problem involves a constant rate or speed and a beginning amount, it can be written in slope-intercept form: y=mx+b.
Step-by-step explanation:
PLEASE HELP!
find the area!
its pretty easy
Answers
Answer:
39 right? or that's perimeter ??
Step-by-step explanation:
Answer:
191.25 mm
Step-by-step explanation:
area of triangle is 1/2 b*h
1/2 (7.5*15) = 56.25
area of rectangle is b*h
15*9 = 135
56.25+135 = 191.25
A model train is 15-
inches long. Each car in this train is
2 inches in length. How many cars are in the train?
BA 3 cars
B
4 cars
C С
5 cars
D6 cars
Answers
Answer:
Im very confused about the question because all the answers are too small but out of those pick 6 i'd say
Step-by-step explanation:
hope this helps!
ASAP WILL GIVE BRAINLIEST
For what value(s) of k will each relation not be a function? B = {(k^2-5k,10), (k+7,4)}
Answers
Answer:
7, -1
Step-by-step explanation:
Find which values of k will fit both expressions.
k^2 - 5k = k + 7
Solve equation.
k = 7, -1
Without graphing, tell whether the slope of a line that models the linear relationship is positive, negative, zero, or undefined. Then find the slope. The total cost, including shipping, for ordering five uniforms is $63. The total cost, including shipping, for ordering seven uniforms is $83.
Answers
Answer:
A--> W, Z, U, Y
Step-by-step explanation:
I took the test on Edge
Jack's family took a road trip to Mount Rushmore. Jack slept through the last 65% of the trip. If the total length of the trip was 700 miles, how many miles had they travelled when Jack fell asleep?
Answers
Using proportions, it is found that they had traveled 245 miles when Jack fell asleep.
What is a proportion?A proportion is a fraction of a total amount.
Jack slept through the last 65% of the trip, hence he fell asleep when 100 - 65 = 35% of the 700 mile trip had been traveled, so:
0.35 x 700 = 245.
They had traveled 245 miles when Jack fell asleep.
More can be learned about proportions at https://brainly.com/question/24372153
Answer:245 miles
Step-by-step explanation:Using proportions, it is found that they had traveled 245 miles when Jack fell asleep.
What is a proportion?
A proportion is a fraction of a total amount.
Jack slept through the last 65% of the trip, hence he fell asleep when 100 - 65 = 35% of the 700 mile trip had been traveled, so:
0.35 x 700 = 245.
They had traveled 245 miles when Jack fell asleep.
What’s the answer? Because am having a hard time with this math problem.
Answers
9514 1404 393
Answer:
34.5 square meters
Step-by-step explanation:
We assume you want to find the area of the shaded region. (The actual question is not visible here.)
The area of the triangle (including the rectangle) is given by the formula ...
A = 1/2bh
The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...
A = (1/2)(11 m)(9 m) = 49.5 m^2
The rectangle area is the product of its length and width:
A = LW
The figure shows the rectangle is 5 m high and 3 m wide, so its area is ...
A = (5 m)(3 m) = 15 m^2
The shaded area is the difference between the triangle area and the rectangle area:
shaded area = 49.5 m^2 - 15 m^2 = 34.5 m^2
The shaded region has an area of 34.5 square meters.
If H1(x) is the inverse of H(x) , what is the value of H1 (H(x)) ?
Answers
In the inverse function, if you feed in y, you get x
So basically if you take the inverse of the original function, you get back the original input.
Hence:
H^-1(H(x)) = x
Take this example:
H(x) = 3x
H^-1(x) = x/3
H^-1(H(7))
--> H(7) = 3(7) = 21
--> H^-1(21) = 21/3 = 7
Answer A. x
Step-by-step explanation:
Carmen and her friends go out for lunch and leave a 20% tip. How much was the bill if they left a $17.64 tip?
Answers
so 17.64/2
= 8.82
then move decimal over one
so $88.2
is the bill
y= 16 + 5x
x= -2
Solve it algebraically
Answers
Answer:
[tex]x=-2[/tex]
[tex]y=6[/tex]
Step-by-step explanation:
substitute in -2 to replace the x
[tex]y=16+5(-2)[/tex]
[tex]y=16-10[/tex]
[tex]y=6[/tex]
The basketball team scored 85 points in the last 2 games.How many points can they expect to score after 5games?
Answers
Answer:
297.5
Step-by-step explanation:
85/2=42.5 per game
42.5×5=212.5
85+212.5=297.5
If the angle is 111.6 what is x
Answers
Answer:
the angle would be 111.6 because they are vertical meaning that they are exact opposite of the other but have the same angle measurement.
Step-by-step explanation:
Allen purchased a computer on sale.
The original price was $1,400. The sale price was 3/5 of the original price. How much
did Allen pay for computer?
Answers
Explanation: 3 divided by 5 = 0.6
0.6 x 1,400 = 840
1,400 - 840 = 560
Find the area of the trapezoid
Answers
Answer:
49 units squared
Step-by-step explanation:
The area of a trapezoid is calculated with the following formula:
(a+b)*1/2*h (a: base, b: base, h: height)
(3+11) * 1/2 * 7 = 49 the area is stated in square units so the answer is 49^2
PLEASE HELP!!
Only respond if you know the answer
15 ∙ 10 ∙ 2 + 15 ∙ 7 ∙2 + 7 ∙ 10 ∙ 2 which equals 650
The surface area of the jewelry box is 650 sq2
What is the surface area of the box if it is scaled up by a factor of 10?
Answers
Answer:
the answer is 6500
Step-by-step explanation:
hope this helps