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.

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.

For the functions h and f, what statement is true if h(x) = f(x + 14) - 12?

The graph of h is the result of the graph of f being translated left 14 units and down 12 units

The graph of h is the result of the graph of f being translated right 14 units and down 12 units

The graph of h is the result of the graph of f being translated right 14 units and up 12 units

The graph of h is the result of the graph of f being translated left 14 units and up 12 units

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function f(x)= x 2 g(x)= -½x 2

Reflected over the x-axis and compressed (shrunk) by a factor of ½

Reflected over the x-axis and moved 2 down

Reflected over the x-axis and stretched by a factor of 2

Quadratic Transformations

Authored by Javelo Jones

Mathematics

9th Grade

CCSS covered

Used 20+ times

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a reflection across the line x = -4

a reflection across the line y = -4

a translation shifting f(x) 4 units to the left

a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

1 min • 12 pts

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the equation to its description.

Reflected over x and up 4

Reflected over x and down 4

Reflected over x and right 4

Reflected over x and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the equation to its description.

Stretched by 2 and up 4

Compressed by 2 and up 4

Stretched by 2 and left 4

Compressed by 2 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the equation to its description.

Stretched by 4 and up 4

Compressed by 4 and up 4

Stretched by 4 and left 4

Compressed by 4 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Match the description to its equation.
Moves down 1
Moves right 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which list orders the quadratic functions from narrowest to widest?

y = x²
y = 4x²
y = 2x² - 2
y = 0.5 x²

y = 0.5 x²
y = x²
y = 2x²- 2
y = 4x²

y = 4x²
y = 2x²- 2
y = x²
y = 0.5 x²

y = 2x² - 2
y = 4x²
y = 0.5x²
y = x²

Tags

CCSS.HSF.BF.B.3

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Quadratic Transformations

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

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

Match the equation to its description.

Match the equation to its description.

Match the equation to its description.

Match the description to its equation.
Moves down 1
Moves right 1

Which list orders the quadratic functions from narrowest to widest?

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

Which transformation will occur if f(x) = x² is replaced with -f(x)?

Compare the function y = 0.3x² to the parent function y = x²

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Quadratic Transformations

Which transformation maps the graph of f(x) = x2 to the graph of g(x) = (x + 4)2?

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

Match the equation to its description.

Match the equation to its description.

Match the equation to its description.

Match the description to its equation.Moves down 1Moves right 1

Which list orders the quadratic functions from narrowest to widest?

Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?

Which transformation will occur if f(x) = x2 is replaced with -f(x)?

Compare the function y = 0.3x2 to the parent function y = x2

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

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

Match the description to its equation.
Moves down 1
Moves right 1

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

Which transformation will occur if f(x) = x² is replaced with -f(x)?

Compare the function y = 0.3x² to the parent function y = x²