AnswersCMS 2026-2027 NC Math 3 CREDIT RECOVERYTransformations of Functions

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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 is equal to 2 to the x th power
B
y is equal to x squared
C
y is equal to square root of x
D
y is equal to absolute value of 2 x
3
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How is the graph of the parent function y is equal to x squared transformed to produce the graph of y is equal to 3 times open paren x plus 1 close paren squared ?

A
It is translated 1 unit right and compressed vertically by a factor of 3 .
B
It is translated 1 unit left and stretched vertically by a factor of 3 .
C
It is translated 1 unit right and stretched vertically by a factor of 3 .
D
It is translated 1 unit left and compressed vertically by a factor of 3 .
4

How is the graph of the parent quadratic function transformed to produce the graph of y is equal to negative open paren 2 x plus 6 close paren squared plus 3 ?

A
The graph is stretched horizontally by a factor of 2 , reflected over the x -axis, shifted left 3 units, and translated up 3 units.
B
The graph is compressed horizontally by a factor of 2 , shifted left 3 units, reflected over the x -axis, and translated up 3 units.
C
The graph is reflected over the x -axis, stretched horizontally by a factor of 2 , shifted left 6 units, and translated up 3 units.
D
The graph is reflected over the x -axis, compressed horizontally by a factor of 2 , shifted left 6 units, and translated up 3 units.
5

To which family does the function y is equal to 2 to the x th power plus 5 belong?

A
quadratic
B
exponential
C
square root
D
logarithmic
6

Which of the following is the graph of y is equal to negative open paren x minus 2 close paren cubed minus 5 ?

A
Image with description On a coordinate plane, the scale on the x axis range from negative 5 to 5 in increments of 1, and the scale on the y axis range from negative 10 to 0 in increments of 1. The curve lies in the 3rd quadrant and passes through points (negative 3 point 5 comma negative 3) and (negative 1 comma negative 6). It has the point of inflection at (negative 2 comma negative 5).
B
Image with description A coordinate plane with a horizontal x-axis labeled from negative 5 to 5 in increments of 1 and a vertical y-axis labeled from negative 10 to negative 1 in increments of 1 with a jagged axis break line above negative 1. The graph consists of a continuous curve that enters from the bottom with an arrow pointing downward near negative 3.5 comma negative 10, curves upward to flatten out horizontally at negative 2 comma negative 5, and continues curving upward to the right, ending with an arrow pointing upward near negative 0.5 comma negative 1.
C
Image with description On a coordinate plane, the scale on the x axis ranges from negative 5 to 5 in increments of 1, and the scale on the y axis ranges from negative 10 to 0 in increments of 1. The curve lies in the 4th quadrant and passes through points (3 point 5 comma negative 2) and (1 comma negative 7). It has the point of inflection at (2 comma negative 5).
D
Image with description On a coordinate plane, the scale on the x axis ranges from negative 5 to 5 in increments of 1, and the scale on the y axis ranges from negative 10 to 0 in increments of 1. The curve lies in the 4th quadrant and passes through points (1 comma negative 3) and (4 comma negative 9). It has the point of inflection at (2 comma negative 5).

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