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Quadratic Transformations S25

Authored by Samantha Bumpass

Mathematics

9th - 12th Grade

Used 1+ times

Quadratic Transformations S25
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16 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the vertex?

 f(x)=(x4)2+3f\left(x\right)=\left(x-4\right)^2+3  

(-4,3)

(4,3)

(-4,-3)

(4,-3)

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which equation would shift the quadratic function

 f(x)=x2f\left(x\right)=x^2  up 3 units and to the right 4 units.

 f(x)=(x+3)2+4f\left(x\right)=\left(x+3\right)^2+4  

 f(x)=3(x4)2f\left(x\right)=3\left(x-4\right)^2  

 f(x)=(x4)2+3f\left(x\right)=\left(x-4\right)^2+3  

 f(x)=(x+4)2+3f\left(x\right)=\left(x+4\right)^2+3  

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which quadratic function below is not reflected down?

f(x)=12(x+3)2+4f\left(x\right)=-\frac{1}{2}\left(x+3\right)^2+4

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

f(x)=x24f\left(x\right)=-x^2-4

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

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Describe the transformation:

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

right 3, down 2

up 3, left 2

left 3, up 2

left 3, down 2

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Describe the transformation:

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

right 3

Reflected down, right 3

Reflected down, up 3

Reflected down, left 3

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1

f(x)=3(x+1)2+4f\left(x\right)=-3\left(x+1\right)^2+4

f(x)=4(x+3)2+1f\left(x\right)=-4\left(x+3\right)^2+1

f(x)=(x+4)2+3f\left(x\right)=-\left(x+4\right)^2+3

f(x)=3(x+1)2+4f\left(x\right)=3\left(x+1\right)^2+4

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What steps transform the graph y = x2 to y = 2(x+2)2 - 5?

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Stretch by 2, shifted 2 units left and 5 down

Compress by 5, shifted 2 units left and 2 down

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