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

Authored by Daniel Dorado

Mathematics

9th Grade

CCSS covered

Used 10+ times

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50 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
- moves up 4

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
- moves down 3

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
-Moves left 2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.SRT.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.CED.A.2

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

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.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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Quadratic Transformations 1st

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

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Popular Resources on Wayground

Discover more resources for Mathematics

Quadratic Transformations 1st

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

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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