Shifting Functions Review

Shifting Functions Review

11th Grade

9 Qs

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Shifting Functions Review

Shifting Functions Review

Assessment

Quiz

Mathematics

11th Grade

Hard

CCSS
HSF-IF.C.7A

Standards-aligned

Created by

CHRISTOPHER CAVIN

Used 39+ times

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The function g(x)g\left(x\right)  is the function  f(x)=2(x1)2+3f\left(x\right)=2\left(x-1\right)^2+3  shifted 3 units right and 2 units down.  Which of the following is the equation for  g(x)?g\left(x\right)?  

 g(x)=2(x+2)2+1g\left(x\right)=2\left(x+2\right)^2+1  

 g(x)=2(x3)22g\left(x\right)=2\left(x-3\right)^2-2  

 g(x)=2(x+3)22g\left(x\right)=2\left(x+3\right)^2-2  

 g(x)=2(x4)2+1g\left(x\right)=2\left(x-4\right)^2+1  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do the functions  y=f(x+2)y=f\left(x+2\right)  and  y=f(x3)y=f\left(x-3\right)  differ?

f(x + 2) is 2 units right of f(x - 3)

f(x + 2) is 5 units left of f(x - 3)

f(x + 2) is 5 units to the right of f(x - 3)

f(x + 2) is 1 unit to the left of f(x - 3)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement below describes what happens to the graph of  y=a(xh)2+ky=a\left(x-h\right)^2+k  when the value of  aa  is changed from   1-1  to  3?-3?  

the graph translates 2 units down

the graph translates 2 units right

the graph widens (shrinks vertically)

the graph narrows (stretches vertically)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the graph of y=(x5)2+3y=\left(x-5\right)^2+3 

Media Image
Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSF-IF.C.7A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement describes what happens to the graph of  y=a(xh)2+ky=a\left(x-h\right)^2+k  when the value of  hh  is changed from  22  to  1?-1?  

the graph translates 3 units down

the graph translates 3 units right

the graph translates 3 units up

the graph translates 3 units left

the graph stretches vertically by a factor of 3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The function  g(x)g\left(x\right)  can be described as  g(x)=2f(x+1)5.g\left(x\right)=2f\left(x+1\right)-5.  Which best describes the relationship between  g(x)g\left(x\right)  and  f(x)?f\left(x\right)?  

g(x) is f(x) shifted 1 unit right, stretched vertically by a factor of 2, and shifted 5 units down.

g(x) is f(x) shifted 1 unit left, stretched vertically by a factor of 2, and shifted 5 units down.

g(x) is f(x) shifted 1 unit left, compressed vertically by a factor of 2, and shifted 5 units up.

g(x) is f(x) shifted 1 unit right, stretched vertically by a factor of 2, and shifted 5 units up.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

g(x)=f(x3)2g\left(x\right)=f\left(x-3\right)-2

g(x)=f(x+3)2g\left(x\right)=f\left(x+3\right)-2

g(x)=f(x3)+2g\left(x\right)=f\left(x-3\right)+2

g(x)=f(x+3)+2g\left(x\right)=f\left(x+3\right)+2

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Exponential function

Square root function

Absolute value function

Linear function

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement describes what happens to the graph of  y=a(xh)2+ky=a\left(x-h\right)^2+k  when the value of  kk  is changed from  1-1  to  4?4?  

the graph translates 3 units up

the graph translates 3 units right

the graph translates 5 units right

the graph translates 5 units up