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

Vertical compression by a factor of 1/2

Vertical translation up by 2 units.

Horizontal compression by a factor of 1/2

What causes the graph of y = x 2 to open downward?

multiply the x 2 by a negative number

multiply the x 2 by a number greater than 1

What are the transformations? y=(x-2) 3 +4

Horz shift right 2 Vert shift up 4

Horz shift left 2 Vert shift up 4

Horz shift right 2 Vert shift down 4

Horz shift left 2 Vert shift up 4

What does the transformation $$f\left(x\right)\ \rightarrow\ \frac{1}{3}f\left(x\right)+4$$ do to the graph of $$f\left(x\right)$$ ?

Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

Stretches the graph by a factor of 3 and translates up 4 units.

Translates the graph left 1/3 of a unit and up 4 units.

Translates the graph right 3 unites and down 4 units.

Transforming Graphs

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

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

+6

Standards-aligned

Charles Martinez

FREE Resource

14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which equation below is a quadratic function translated up 5 units?

y = x² + 5

y = (x + 5)²

y = 5x²

y = -x² - 5

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

A. g(x) = 2x²

B. g(x) = 1/2x²

C. g(x) = x² + 2

D. g(x) = (x + 2)²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

The graph of g is a vertical translation 2 units up of the graph of f

The graph of f is a horizontal translation two units left of g

The graph of g is a vertical stretch by a factor of 2 of the graph of f

The graph of g is a reflection of the graph of f

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Name the parent function.

linear

quadratic

cubic

logarithmic

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

translation

rotation

reflection

vertical stretch

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

g(x)= x²+3

g(x)= (x+3)²

g(x)= (x-3)²

g(x) =(x-2)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The function is being moved 4 units to the right

The function is being moved 12 units to the left

The function is being moved 4 units to the left

The function is being 12 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

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Transforming Graphs

14 questions

Which equation below is a quadratic function translated up 5 units?

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Name the parent function.

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

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

How did the equation shift from the parent function? y = f(x - 4)

Describe the transformation that occurred
g(x) =2f(x)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Transforming Graphs

14 questions

Which equation below is a quadratic function translated up 5 units?

The graph shows the function f(x)=x2 in blue and another function g(x) in red. Which could be the equation for g(x)?

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Name the parent function.

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

Which function DOES NOT represent a horizontal shift of the function f(x)=x2

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

How did the equation shift from the parent function? y = f(x - 4)

Describe the transformation that occurred g(x) =2f(x)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

Describe the transformation that occurred
g(x) =2f(x)