TRansformations of functions

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

NOT c NOT a NOT d

Which graph is an example of a function whose parent function is ?

a

Which of the following is the graph of y=-(x-2)^3-5?

NOT b

To which family does the function belong?

NOT exponential

To which family does the function belong? quadratic square root exponential logarithmic

exponential

An engineer is using a polynomial function to model the height of a roller coaster over time x, as shown.

a

How is the graph of the parent quadratic function transformed to produce the graph of y= -(2x+...?

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

The value of a graphed function doubles for each increase of 1 in the value of x. Which of the following could be the parent function of the graphed function?

a y=2^x

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

a y=logx+5

Which graph is an example of a cubic function?

b

Which is the graph of y=5log..?

b

The graph of the parent function is horizontally stretched by a factor of and reflected over the y-axis. What is the equation of the transformed function?

d y= -{-1/5x}^3

The graph of the parent function is horizontally stretched by a factor of and reflected over the y-axis. What is the equation of the transformed function?

d.

An engineer is using a polynomial function to model the height of a roller coaster over time x, as shown.The engineer wants to modify the roller coaster design by transforming the function. Which represents , the modified design of the roller coaster?

a

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

b y=log(2x)+3

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

b y=|x+3|-2

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

b y=log(2...

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

b y=|x+3|-2

How is the graph of the parent function transformed to create the graph of y= -1/3x ?

c

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

d It is horizontally compressed by a factor of 2 and reflected over the y-axis.

Which equation represents the transformed function below?

a

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

a

How is the graph of the parent function of transformed to produce the graph 3sign1/2x ?

a It is horizontally stretched by a factor of 1/2.

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

b

The velocity of a particle can be modeled by the function . Which graph accurately shows the velocity of the particle at any time, t?

b

Which equation describes how the parent function, , is vertically stretched by a factor of 4?

c

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 ?

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

A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function transformed to create the graph of the function ?

c. It is a vertical stretch with a factor of 100 and a translation 5 units down.

The graph below belongs to which function family? linear quadratic cubic absolute value Submitted

d

For which graph is the parent function ?

a. U

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

NOT b y=0.6x^2-1

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

NOT b|2x| NOT d1/2

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

NOT a NOT d

The graph of the function is shown.Which graph represents the function f(2x)?

NOT a

he graph of the function is shown.Which graph represents the function f(2x) ?

NOT a

How is the graph of the parent quadratic function transformed to produce the graph of y= -(2x+6)^2 +3?

NOT b: The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated up 3 units. Correct a.

The graph below belongs to which function family?

d absolute value


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