How did we transform from f(x) =x 2 to g(x) = -3x 2

reflection in x-axis and shift down

reflection x-axis and compression

How did we transform from the parent function? g(x) = -1/5(x - 1) 2 + 7

reflection, compression, horizontal right, vertical up

compression, horizontal shift left, vertical shift up

reflection, horizontal shift right, vertical shift down

no changes were made to y = x 2

Which transformation transforms the graph of f(x) = x 2 to the graph of g(x) = (x + 4) 2 ?

a horizontal translation 4 units to the left

a vertical translation 4 units up

a vertical translation 4 units down

a horizontal translation 4 units to the right

What is the axis of symmetry in a function?

A vertical line that passes through the vertex and divides the parabola in half

The transformation of the graph

The vertex, represented by (h,k)

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

Stretch by 2, shifted 2 units left and 5 down

Compress by 2, shifted 2 units left and 5 down

Stretch by 5, shifted 5 units left and 2 down

Compress by 5, shifted 2 units left and 2 down

What steps transform the graph y = x 2 to y = -1/2(x-4) 2 + 1?

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Compressed by 1/2, shifted 4 units right and 1 unit up

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Stretched by 1/2, shifted 4 units right and 1 unit down

The graph of m(x) = x 2 was transformed to create the graph of n(x) = x 2 + 21. Which of these describes the transformation?

A vertical shift down 21 units.

A horizontal shift to the right 21 units.

A horizontal shift to the left 21 units.

The graph of g(x) = x 2 is transformed to create the graph of h(x) = 0.5g(x). Describe the transformation.

Vertical shrink/compression by a factor of 0.5

Vertical stretch by a factor of 0.5.

Horizontal stretch by a factor of 0.5.

Horizontal shrink/compression by a factor of 0.5.

Which transformation will occur if f(x) = x 2 is replaced with f(x) + 2?

Vertical translation up by 2 units.

Nothing happens, it stays the same.

Vertical stretch by a factor of 2.

Which transformation will occur if f(x) = x 2 is replaced with -f(x)?

Nothing happens, it stays the same.

Vertical stretch by a factor of 2.

Vertical translation up by 2 units.

Which transformation will occur if f(x) = x 2 is replaced with 2⋅f(x)?

Vertical stretch by a factor of 2.

Nothing happens, it stays the same.

Vertical translation up by 2 units.

How did we transform from f(x) =x 2 to g(x) = -3x 2

reflection x-axis and vertical stretch

reflection in x-axis and vertical shift down

reflection x-axis and vertical compression

The axis of symmetry line passes through which point?

symmetrical point for the vertex

Quadratic Transformations 1st

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.3, HSG.CO.A.2, HSF.IF.C.7

+14

Standards-aligned

Daniel Dorado

Used 8+ times

FREE Resource

Student preview

50 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
- moves up 4

A

B

C

D

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
- moves down 3

A

B

C

D

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
-Moves left 2

A

B

C

D

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
Stretches by a factor of 3

A

B

C

D

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.SRT.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
Moves up 2
Moves left 4

A

B

C

D

Tags

CCSS.HSA.CED.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which quadratic function is represented by the graph?

y = 2(x - 4)² + 5

y = 2(x + 4)² + 5

y = -2(x - 4)² + 5

y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

g(x) = x²- 5

g(x) = x²+ 5

g(x) = (x - 5)²

g(x) = (x + 5)²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

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Quadratic Transformations 1st

50 questions

Match the description to its equation.
- moves up 4

Match the description to its equation.
- moves down 3

Match the description to its equation.
-Moves left 2

Match the description to its equation.
Stretches by a factor of 3

Match the description to its equation.
Moves up 2
Moves left 4

Which quadratic function is represented by the graph?

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

What transformations have occurred?

How did we transform from f(x) =x²
to
g(x) = -3x²

Match the description to its equation.
Moves right 7

Create a free account and access millions of resources

Popular Resources on Wayground

Discover more resources for Mathematics

Quadratic Transformations 1st

50 questions

Match the description to its equation.- moves up 4

Match the description to its equation.- moves down 3

Match the description to its equation.-Moves left 2

Match the description to its equation.Stretches by a factor of 3

Match the description to its equation.Moves up 2Moves left 4

Which quadratic function is represented by the graph?

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

What transformations have occurred?

How did we transform from f(x) =x2 tog(x) = -3x2

Match the description to its equation.Moves right 7

Create a free account and access millions of resources

Popular Resources on Wayground

Discover more resources for Mathematics

Match the description to its equation.
- moves up 4

Match the description to its equation.
- moves down 3

Match the description to its equation.
-Moves left 2

Match the description to its equation.
Stretches by a factor of 3

Match the description to its equation.
Moves up 2
Moves left 4

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

How did we transform from f(x) =x²
to
g(x) = -3x²

Match the description to its equation.
Moves right 7