Transformations of Functions

Question 1

To which family does the function belong?

Revolt · Accepted Answer

exponential

Question 2

Which equation represents the transformed function below?_____ = parent function; - - - - - = transformed function

Revolt · Accepted Answer

y = log x + 5

Question 3

The function models the cost per student of a field trip when x students go on the trip. How is the parent function transformed to create the function ?

Revolt · Accepted Answer

It is vertically stretched by a factor of 200 and shifted 10 units up.

Question 4

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Revolt · Accepted Answer

y = StartAbsoluteValue one-fourth x EndAbsoluteValue

Question 5

How is the graph of the parent quadratic function transformed to produce the graph of ?

Revolt · Accepted Answer

The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated up 3 units.

Question 6

Which results only in a horizontal compression of by a factor of 6?

Revolt · Accepted Answer

y = StartFraction 1 Over 6 x EndFraction

Question 7

How is the graph of the parent function transformed to produce the graph of ?

Revolt · Accepted Answer

It is translated 1 unit left and stretched vertically by a factor of 3.

Question 8

The graph of the function is shown.Which graph represents the function ?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-11-07/mc037-7.jpg

Question 9

Based on the family the graph below belongs to, which equation could represent the graph?

Revolt · Accepted Answer

y = log (2 x) + 3

Question 10

Which equation represents the transformed function below?_____ = parent function; - - - - - = transformed function

Revolt · Accepted Answer

y = StartRoot x + 2 EndRoot

Transformations of Functions Answers

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