Answers
Given:
The parent function is
[tex]f(x)=x^2[/tex]
The graphs of f(x) and g(x) are given.
To find:
The function g(x).
Solution:
From the given graph it is clear that the graph of f(x) is reflected over the x-axis and shifted 3 units down to get the graph of g(x).
The translation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (1)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k. If k<0, then the graph of f(x) reflected over the x-axis.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From the given graph it is clear that the graph of f(x) is reflected over the x-axis and shifted 3 units down to get the graph of g(x). So, k=-1, a=0 and b=-3.
[tex]g(x)=(-1)f(x+0)+(-3)[/tex]
[tex]g(x)=-f(x)-3[/tex]
[tex]g(x)=-x^2-3[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the required function is [tex]g(x)=-x^2-3[/tex]. So, the correct option is B.
Related Questions
In the game “Sandwich” three cards are dealt from a 52-card deck. To win, the value of the third card must be between the first two cards. What is the probability of winning given the first two cards dealt are a 6 and a 10?
Show ALL work!!!
Answers
Answer:
[tex]\frac{3}{13} ,\frac{12}{52}[/tex]
Step-by-step explanation:
In a 52 card deck there a 4 of ech individual card
There are 3 card values between 6 and 10, (7,8,9)
[tex](3)(4)=12[/tex]
12 out of the 52 cards could win the game, so there is a probability of
[tex]\frac{12}{52}[/tex] [tex]or[/tex] [tex]\frac{3}{13}[/tex]
plz mark me brainliest. :)
Which of the division expressions below has a remainder? Select all that apply.
A) 234 : 4
B) 1,350 = 9
C) 794 : 6
D) 812 : 8
E) 12,416 : 4
Answers
Answer: 8
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
Find the measure of angle b
Answers
Answer:
77°
Step-by-step explanation:
Angles on a straight line add up to 180
180 - 103 = b
180 - 103 = 77
Which expression gives the measure of ABC?
A. 1/2(110° + 20°)
B. 1/2(110 -20°)
C. 110° - 20°
D. 110° + 20°
Answers
Answer:
A. 1/2(110° + 20°)
Step-by-step explanation:
[tex] \huge \orange{m\angle ABC} \pink{ = } \purple{\frac{1}{2} (110 \degree + 20 \degree)}[/tex]
Answer:
A
Step-by-step explanation:
The chord- chord angle ABC is half the sum of the arcs intercepted by the angle and its vertical angle, that is
∠ ABC = [tex]\frac{1}{2}[/tex] (110 + 20)° → A
= 0.5 × 130°
= 65°
In a drill, Mark gives Fred a 45 meter head start. After t seconds, Fred is a distance 5t +45 from the starting line andMark is a distance of 6t from the starting line. How far ahead of Mark is Fred after t seconds?
Answers
Answer: After t seconds, Fred is far away from Mark by (45-t).
Step-by-step explanation:
Given: Mark gives Fred a 45meter head start.
After t seconds, the distance of Fred from the starting point = 5t+45
The distance of Mark from the starting point = 6t
Now, Distance between Fred and Mark after t seconds = Location of Fred - Location of Mark
= (5t+45)-6t
= 5t+45-6t
= 45-t
Hence, After t seconds, Fred is far away from Mark by (45-t).
a farmer was on his tractor and drove by some chickens and pigs in his field he counted 30 heads and 84 legs
*REUPLOAD* PLEASE ANSWER W EXPLANATION
Answers
Answer:
There are 18 pigs and 12 chickens.
Step-by-step explanation:
p = # of pigs
c = # of chickens
I'm assuming each animal has one head and all the pigs have 4 legs and all the chickens have 2 legs, therefore:
p+c = 30
4p+2c = 84
Elimination:
-2(p+c = 30) -2p -2c = -60
4p +2c = 84 4p +2c = 84
2p = 24
p = 12
Now substitute p for 12:
12 + c = 30
c = 18
Check:
4(12) + 2(18) = 84
48 + 36 = 84
84 = 84
There are 18 chickens and 12 pigs.
Help me please with this question I’m lost
Answers
b-acute
a+b-180 degrees
37.29 for 2 pairs of jeans. How much for each pair.
Answers
Answer:
About $18.65 each
Step-by-step explanation:
Brainliest?!?!?!?
Answer:
$18.645
Step-by-step explanation:
18.645
2|37 .29
2
----------
17.
16.
----------
1.2
1.2
---
9
8
--
10
10
Therefore, 37.29 divided by 2=18.645
A chef uses 1/2 cup of tomatoes for every 1/8 cup of onions to make salsa. How many cups of onions will the chef need for 1 cup of tomatoes? Enter the answer as a decimal.
Answers
Answer:
0.25cups
Step-by-step explanation:
if it is 1 cup then we are doubling the amount of onions so
1/8 x 2= 1/4= 0.25cups
m over 4=8 the answer is 32 what are the steps to this equation?
Answers
Explanation:
4x+8=32
Isolate for x. Start by subtracting 8 from both sides of the equation.
4x+8−8=32−8
4x=24
Divide both sides of the equation by 4.
4x4=244
x=6
What is 7 divided by 23
Answers
Answer:
0.3043478
Step-by-step explanation:
...............
Answer:
0.304347826086957
Step-by-step explanation:
2r - 1⅔r ＞ -⅓ solve the inequality
Answers
Answer:
r > -1.
Step-by-step explanation:
2r - 1⅔r ＞ -⅓
1/3 r > -1/3
r > -1/3 / 1/3
r > -1.
Answer:
r>1/3 ima put the explanation in the comments
This is for my friend so if you could solve this asap that would be great
Answers
Answer:
1. 5x^2 − 3x − 2
2. 4s^2 −28s + 49
3. 4y^2 + 9y + 8
Answer:
[1] 5x² - 3x - 2[2] 4s² - 28s + 49[3] 4y² + 9y + 8Explanation:
(3x² + 4) - (-2x² + 3x + 6)Remove Parenthesis: (a) = a
3x² + 4 - (-2x² + 3x + 6)
Simplify -(-2x² + 3x + 6): 2x² - 3x - 6
3x² + 4 + 2x² - 3x - 6
Simplify 3x² + 4 + 2x² - 3x - 6
5x² - 3x - 2
(2s - 7)²Apply Perfect Square Formula: (a - b)² = a² - 2ab + b²²: a = 2s, b = 7
(2s)² - 2 · 2s · 7 + 7²
Simplify (2s)² - 2 · 2s · 7 + 7²
4s² - 28s + 49
(7y² + 9y - 2) + (-3y² + 10)Remove Parenthesis: (a) = a
7y² + 9y - 2 - 3y² + 10
Group Like Terms
7y² - 3y² + 9y - 2 + 10
Add Similar Elements: 7y² - 3y² = 4y²
4y² + 9y - 2 + 10
Add: -2 + 10 = 8
4y² + 9y + 8
PLEASE HELP ASAP
The table shows values for functions f(x) and GX(x) what is the solution to f(x) = g(x)
Answers
pls help me find the two words using the letters
Answers
Answer:
nest ,shot,west,then,show,
hope it helps you
Any claims that m4+m5=m10+m9, Is Amy correct? Use mathematics language to justify your response.
Answers
Solve the equation for x. If necessary round to the nearest tenth.
x² = 17
X=
+
Answers
Answer:
x = 4.1 & x = −4.1
Step-by-step explanation:
[tex]x^2 = 17\\[/tex]
x = ±√17
x = √17, −√17
x = 4.1 & x = −4.1
cual es la raiz cuadrada de 100
Answers
Answer:
10
Step-by-step explanation:
Does the number line below represent the solution to the inequality x > -2?
Answers
Answer:
B I aplogize if its wrong i haven't done this type of math in a couple years so its foggy
Hope it Helps!
can I have help on this
Answers
Answer:
5.5
Step-by-step explanation:
22/4=5.5
can you please mark me as brainliest? thanks!
hope this helps!
Solve the system by substitution.
y= 10x
y= 2x - 16
Answers
Answer:
y = 16x5 which is 80 and x is 64
Step-by-step explanation:
PLEASE HELP ASAP?!?
What are the sine, cosine, and tangent ratios for
Answers
sine = 8/17
cosine = 15/17
tangent = 8/15
Which rule describes the pattern for the table's Input and Output values?
A. add 2
B. add 10
C. subtract 7
D. divide by 2
PLEASE HELP I WILL MARK YOU BRAINLIEST!
Answers
answer:
a.add 2
Step-by-step explanation:
A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3. A function table is another name for an input-output table, a table that shows how a value changes according to a rule.
The kiddie pool has a hole in it and is losing water at a rate of 24 fl oz per minute. What is the change in amount of water in the pool after four minutes? Write an expression, write the answer as an integer, then interpret the answer in the context of the problem.
Expression: Answer (as integer):
Interpretation:
Answers
expression: -24 * 4
Integer: -96
The pool loses 96 fl oz of water after 4 minutes.
please help!!!!!! i need this done asap!!! brainliest to whoever answers!!
Answers
Answer:
volume = Pi(2x^2+3x-5) x (2x+5)^2 or P1(8x^4+52x^3+100x^2-125)
Step-by-step explanation:
radius = (4x+10)/2 = 2x+5
volume = Pi(2x^2+3x-5) x (2x+5)^2
volume = Pi(2x^2+3x-5) x (4x^2+20x+25)
volume = P1(8x^4+52x^3+100x^2-125)
Can somebody plz help answer all these questions correclty (if u know how to do this) thanks :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answers
Answer:
29.) 7.2 + 3 = 10.2
30.) 15.5 + 2 = 17.5
31.) 0.8 + 11 = 11.8
32.) 8.7 + 9 = 17.7
33.) 21.8 + 6 = 27.8
34.) 1.6 + 8 = 9.6
Hope this helps!
Step-by-step explanation:
29. m-3= 7.2
1. add three on both sides
30. n-2= 15.5
1. add two on both sides
The same applies to the rest.
16. у 7x; х -5
(Help this is due today)
Answers
Answer:
Sorry that me lines are bad :(
Step-by-step explanation:
Hope this helps ;) ;p
What is the value of the expression?
2 x[(-6 + 4) X (5 + 9) - 3]
Answers
Answer:
- 62
Step-by-step explanation:
Calculate the sums within the brackets first and then multiplication, as stated by the BOMDAS rule.
B = Brackets
O = ?
M = Multiplication
D = Division
A = Addition
S = Substitution
(- 6 + 4) = -2
(5 + 9) = 14
- 2 × 14 = -28
- 28 - 3 = - 31
2 × - 31 = - 62
Disclaimer: I am not sure if one of the x's is used as a variable or not
What is area of figure. The height is 10m base is 25 m
Answers
Answer:
If it is a 4-sided figure: 250 m
If it is a triangle: 125 m
Step-by-step explanation:
Decide if a triangle is possible with the
lengths of sides given. Please help! DUE TODAY!! Big part of grade!
Answers
Answer:
yes, yes, no, yes, yes (x > 0)
Step-by-step explanation:
the longest side must not be greater than the other 2 sides added up.
5 + 7 > 8 (yes)
10 + 3 > 11 (yes)
16 + 5 = 21 (no)
4 + 1.4 > 5 (yes)
3x + 4x > 5x (yes, x > 0)