Answers
The equations and their graphs are:
Graph 4: I(x)=P(x)−4
Graph 2: I(x)=P(x+4)
Graph 1: I(x)=P(x)+4
Graph 3: I(x)=P(x−4)
Here we have,
to match the equations and their graphs:
The parent function is given as:
P(x) = x^2
As a general rule of function transformation, we have:
Vertical translation up: I(x) = P(x) + k
Vertical translation down: I(x) = P(x) - k
Horizontal translation left: I(x) = P(x + k)
Horizontal translation right : I(x) = P(x - k)
Using the above rules and the assumption that k is 4;
We have:
Vertical translation up: I(x) = P(x) + 4
Vertical translation down: I(x) = P(x) - 4
Horizontal translation left: I(x) = P(x + 4)
Horizontal translation right : I(x) = P(x - 4)
Hence, the graphs of the equations are:
Graph 4: I(x)=P(x)−4
Graph 2: I(x)=P(x+4)
Graph 1: I(x)=P(x)+4
Graph 3: I(x)=P(x−4)
Read more about function transformation at:
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complete question;
Consider the function P(x)=x2, which is a parabola that opens upward, with a vertex at (0,0).
It undergoes four separate transformations as indicated by the graphs that follow.
P(x) represents the preimage and is placed correctly on all images. I(x) represents the image after the transformation.
Match each transformation indicated by I(x) to the correct graph.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
I(x)=P(x)−4
I(x)=P(x+4)
I(x)=P(x)+4
I(x)=P(x−4)
Related Questions
June's flower bed has a length of 8 feet and a width of seven eighths feet. Is the area of the flower bed larger, smaller, or equal to 8 square feet?
Answers
Answer:
it would be larger. the square footage is 56 square feet.
Step-by-step explanation:
What’s 59+(h-11) ??????
What are the slope and y intercept of the linear function that is represented by the table
Answers
Answer:
Slope of the line is 3
Y-intercept is (3/2) three-halves
Explanation:
I saw this also on Brainly! Hope this helps! :)
Hans purchased 29.4 centimeters of wire for 14.70$. Find the unit price in dollars per centimeter
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Answer:
$0.50/cm
Step-by-step explanation:
Find the area of a triangle with a base of 7 cm and a height of 3 cm.
21 cm squared
10.5 cm squared
20 cm squared
10 cm squared
Answers
Answer:
10.5 cm
Step-by-step explanation:
took the test
Help me, please............
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Answer:
67%
350/ 210 -1 = .67 x 100%
Answer:
67%
Step-by-step explanation:
21/35
Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >
Answers
Answer:
<
Step-by-step explanation:
hhahaha
Which statement about the graph of y
3x + 5 is correct?
A. The line passes through the ordered pair (3,0) and has a slope of 5.
B. The line passes through the ordered pair (0,5) and has a slope of 3.
С. The line passes through the ordered pair (5,20) and has a slope of 5/3
D. The line passes through the ordered pair (3, 14) and has a slope of 3/5
Answers
The correct statement for the equation of the line is the line passes through the ordered pair (0,5) and has a slope of 3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Compare the given equation of the line y = 3x + 5 with the general equation.
y = mx + c
y = 3x + 5
The slope, m = 3
y-intercept = 5
To know more about an equation of the line follow
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What is log5x=4 in exponential form
Answers
Answer:
Step-by-step explanation:
If you mean log₅(x) = 4, take the antilog₅ of both sides.
x = 5⁴
Volume of of 7cm 4cm 5cm
Answers
Answer:
140
Step-by-step explanation:
You multiply 7 by 4 you get 28. Then multiply 28 by 5 you get 140.
Use the given points to answer parts 1, 2, and 3. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your
solution.
(6, 1) and (5, 4)
Part 1: Find the slope of theline that passes through the given points, (6, 1) and (6,4).
Part 2: Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).
Part 3: Write the slope-intercept form of the line that passes through the points (6, 1) and (5, 4).
Answers
Answer:
Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).
Step-by-step explanation:
What is the probability that a value picked at random from the standard normal distribution will be between -1.96 and 1.96?
Answers
Answer:
P( -1.96 ≤ Z≤ 1.96) = 0.95
Step-by-step explanation:
Explanation:-
Given that the z -scores -1.96 and 1.96
we have to find P( -1.96 ≤ Z≤ 1.96)
P( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|
= |A(1.96)+A(-1.96| (∵A(-Z) = A(Z))
= 0.4750+0.4750
= 2×0.4750
= 0.95
The probability lies between -1.96 to 1.96
P( -1.96 ≤ Z≤ 1.96) = 0.95
Find the equation of a line perpendicular to -3x + 5y = -1 that contains the point (0, -5)
Answers
Answer:
y = -5/3x - 5
Step-by-step explanation:
convert -3x + 5y = -1 to slope-intercept form:
5y = 3x - 1
y = 3/5x - 1/5
slope of a line perpendicular to the above equation would be -5/3
y = mx + b
-5 = -5/3(0) + b
b = -5
y = -5/3x - 5
A farmer owns a strip of land next to an interstate. It is 1 mile long and 1/6 mile wide. What is the area of this strip of land in square miles?
Answers
Answer:
1/6 square miles
Step-by-step explanation:
lw=a
1*1/6=1/6
Answer:
1/6 square mlies
Step-by-step explanation:
PLS HELP IF YOU ANSWER I WILL GIVE BRAINLIEST ANSWER!
Answers
Place the following Numbers in order -5.2, - 28/5 , 1 8/11 , 3/2
Answers
Hello!
So, I didn’t know if you wanted me to put them from (Least to Greatest) or (Greatest to Least).. So, I did both.
(LEAST TO GREATEST):
3/2, 1 8/11, -28/5, -5.2
________________________________
(GREATEST TO LEAST):
-5.2, -28/5, 1 8/11, 3/2
________________________________
There you go, I hope this helps! Have a great day/night and stay safe! :)
Just pick the one that you were suppose to find the answer for. :)
what is 0.46 as a fraction in simplest form, a fraction of 100, and a percent
Answers
Answer:
46/100
23/50
46%
Answer:
bleh
Step-by-step explanation:
so that da other guy can get brainliest
what is the perimeter, in centimeters, of a right triangle that has leg lengths of 8centimeters and 11 centimeters? round to the nearest tenth
Answers
Answer:
90
Step-by-step explanation:
8 x 11 = 88
So now you have to add 2 to get to the nearest 10. ;)
A prehistoric site was discovered. The site is a nearly perfect circle
Answers
Answer:
whats the question
Step-by-step explanation:
impact of humour in specific language structure
Answers
Answer:
Summary
Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:
evaluate 3 + jk + k3 when j = 2 and k = 6.
Answers
Answer:
231
Step-by-step explanation:
a pack of pens cost $3. Prisha spent $12 on pens. Each pack has 5 pens How many packs did Prisha buy?
Answers
Answer: 4
Step-by-step explanation: I think
4 packs x 5 pens = 20 pens (if there’s a follow-up question)
Please help me Answer this :)
( Will give brainlst!!)
<3
Answers
Answer:
( it's below)
Step-by-step explanation:
a. electron
b. proton
c. neutron
d. electron shell
Answer:
a:Electron
b:proton
C:neutron
d:electron shell
Which is larger:
A. the absolute value of 12
B. the absolute value of -15
Answers
Answer:
A
Step-by-step explanation:
I am pretty sure this is right and I hope this helps
Answer:
B. the absolute value of -15
Step-by-step explanation:
Ok so,
lets rewrite them for it to make sense
| 12 | = 12
| - 15 | = 15
so now the question is "which is larger 12 or 15?" and the answer is 15 obvs lol
" | " = means absolute value
hope this helps have a good day!
A garden table and a bench cost $793 combined. The garden table costs $43 more than the bench. What is the cost of the bench?
Answers
Answer:
The bench costs $375
Step-by-step explanation:
t + b = 793
t = b+43
(b+43) + b = 793
2b + 43 = 793
2b = 750
b = 375
The bench costs $375
sorry if its in correct i tried my best
In rectangle ABCE, AC is the diagonal. BD⟂AC at O. AB = 13, OA=5. Find the length of OD and OB
plz answer with explanation
Answers
Answer:
ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?
The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.
The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5
Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So
[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5
= [7.5*1.5*2*4]^0.5
= 90^0.5 sq cm
Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or
2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get
4*90 = [s1(s1-p)(s1-q)(s1-r)]
360 = s1(s1–11)(s1–6)(s1-AD) … (1)
2s1 = AD + 11 + 6 = AD + 17, or
s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get
360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)
360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)
360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)
= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)
= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)
360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or
-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or
0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or
0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or
AD^3 - 168.5 AD^2 + 6492.5 = 0, or
By trial and error, AD = 6.3272
Check: AD^3 - 168.5 AD^2 + 6492.5
6.3272^3 - 168.5*6.3272^2 + 6492.5
253.3- 6745.6 + 6492.5 = 0.2 as against 0
Hence AD = 6.3272 cm.
Answer:
Assuming you really mean the rectangle is ABCD, not ABDE:
Since DB is perpendicular to AC, it must be square.
If OA = 5, then OB = OC = OD = 5
This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.
5^2 + 5^2 =AB^2 = 7.07, not 13
If a cable repairman is supposed to show up to for a repair between 1:00pm and 6:00pm and the home owner can’t be homeuntil 3:00pm, what is the probability that the home owner will be home when the cable repair man shows up (assuming the repairman is equally likely to come at any time during the specified range)?
A) 60%
B) 65%
C) 70%
D) 75%
Answers
Answer:
60%
Step-by-step explanation:
3/5 likely, because there are five hours when the repairman could show up.
Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%
Answer:
for da other guy to get brainliest
Step-by-step explanation:
(a) An angle measures 61°. What is the measure of its supplement?
(b) An angle measures 39'. What is the measure of its complement?
Answers
Answer:
61+x=180
x=180-61
x=119
y+39=90
y=90-39
y=51
Answer:
(a)119°
(b)51°
Step-by-step explanation:
(a)Subtract the given angle from 180.
=180°-61°
=119° (The supplement of 61° is 119°)
(b)Subtract the given angle from 90.
=90°-39°
=51° (The complement of 39° is 51°)
help me pls and be serious or I’ll hurt u
Answers
Answer:
-9
Step-by-step explanation:
Khan Academy huh? Well, the answer's -9.
-7 = -9 + 2
Hope that helps!
an orange paint mixture uses 3 cups of red paint for every 5 cups of yellow paint. how many cups of yellow paint will one cup of red paint be for.
Answers
respuesta : 8 espero tesirba
find the value of y and (4x+8)°
Answers
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4