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Transformations of Parabolas

Authored by Anthony Clark

Mathematics

9th Grade

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Transformations of Parabolas
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15 questions

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1.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

"b" causes the parabola to horizontally ​ (a)   when b>1b>1 .

compress

stretch

2.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

The parent function f(x) = x2The\ parent\ function\ f\left(x\right)\ =\ x^2 has translated by reflecting (a)   ​ and moving (b)   and to the ​ (c)  

the final equation would look like ​ (d)  

up 3

down 3

right 1

left 1

across x axis

upward

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How does the graph of h(x)h\left(x\right)  shown here compare to the graph of the parent function  f(x)=x2f\left(x\right)=x^2  (not shown).

Vertical shrink by a factor of  14\frac{1}{4}  

Vertical stretch by a factor of  14\frac{1}{4}  

Reflection over x-axis

None of these

4.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

The parent function f(x) = x2The\ parent\ function\ f\left(x\right)\ =\ x^2 has translated by opening ​ (a)   ​ and moving (b)   and to the ​ (c)  

the final equation would look like ​ (d)  

up 3

down 3

right 1

left 1

downward

upward

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

5.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

If the blue graph is
f(x) = x2 
then the red must be...

x2−5x^2-5

Mathematical Equivalence

ON

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Match the equation to its description.

Reflected over x-axis and shifted up 4

Reflected over x-axis and shifted down 4

Reflected over x-axis and shifted right 4

Reflected over x-axis and shifted left 4

7.

LABELING QUESTION

1 min • 1 pt

Identify the possible function that matches each specific transformation listed from the parent function f(x)=x2f\left(x\right)=x^2

f
g
e
d

f(x)=x2−5f\left(x\right)=x^2-5

f(x)=−(x−7)2f\left(x\right)=-\left(x-7\right)^2

f(x)=−x2+36f\left(x\right)=-x^2+36

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

f(x)=2x2f\left(x\right)=2x^2

f(x)=−5x2f\left(x\right)=-5x^2

f(x)=−12x2f\left(x\right)=-\frac{1}{2}x^2

f(x)=(x+1)2+5f\left(x\right)=\left(x+1\right)^2+5

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