TRansformations of functions
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
