What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

horizontal shift left and vertical shift down

horizontal shift down and vertical shift left

horizontal shift right and vertical shift up

horizontal shift up and vertical shift right

In the equation f(x)=5(x+3) 2 -10 what effect does the 5 do when compared to the parent function?

Vertical stretch by a factor of 5

Vertical compress by a factor of 5

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

a reflection across the line x = -4

a reflection across the line y = -4

Pablo throws a ball with a path of h = -5(t - 2) 2 . Maria throws a ball with a path of h = -5(t - 2) 2 + 10. Which description is reasonable for the difference in the two equations?

Maria starts her ball at a height 10 feet higher than Pablo does.

Maria throws the ball 10 times harder than Pablo does.

Pablo throws the ball 10 times harder than Maria does.

Pablo starts his ball at a height 10 feet higher than Maria does.

Which list orders the quadratic functions from narrowest to widest?

y = 4x 2 y = 2x 2 - 2 y = x 2 y = 0.5 x 2

y = x 2 y = 4x 2 y = 2x 2 - 2 y = 0.5 x 2

y = 0.5 x 2 y = x 2 y = 2x 2 - 2 y = 4x 2

y = 2x 2 - 2 y = 4x 2 y = 0.5x 2 y = x 2

Transformations of Quadratic Functions

Authored by Ramon Rasaq

Mathematics, English

9th - 12th Grade

CCSS covered

Used 23+ times

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25 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

a translation shifting f(x) 4 units up

a translation shifting f(x) 4 units down

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

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Wider

Narrower

Vertical translation up by 2 units.

Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Translation left 2 units

Narrower

Vertical translation up by 2 units.

Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

(-2, 5)

(-6, 5)

(-4, 3)

(-4, 7)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

g(x)=f(x + 3)

g(x)=f(x - 3)

g(x)=f(x) + 3

g(x)=f(x) - 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The vertex of the quadratic function f(x) = -2x² + 4x + 3 if (1, 5). If g(x) = f(x - 2), what is the vertex of g(x)

(1, 3)

(1, 7)

(-1, 5)

(3, 5)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

reflection, vertical compression, horizontal right, vertical up

vertical compression, horizontal shift left, vertical shift up

reflection, horizontal shift right, vertical shift down

no changes were made to y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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Transformations of Quadratic Functions

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

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

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

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

The vertex of the quadratic function f(x) = -2x² + 4x + 3 if (1, 5). If g(x) = f(x - 2), what is the vertex of g(x)

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

Which quadratic function is represented by the graph?

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

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Transformations of Quadratic Functions

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

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

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

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

The vertex of the quadratic function f(x) = -2x2 + 4x + 3 if (1, 5). If g(x) = f(x - 2), what is the vertex of g(x)

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

Which quadratic function is represented by the graph?

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

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

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?

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

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

The vertex of the quadratic function f(x) = -2x² + 4x + 3 if (1, 5). If g(x) = f(x - 2), what is the vertex of g(x)

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

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