AnswersAlgebra IIGraphing Radical Functions

Graphing Radical Functions — Quiz Answers

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1
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Which of the following is the graph of y is equal to negative 4 square root of x ?

A
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from the origin and passes through the points (1 comma 4) and (4 comma 8) in the 1st quadrant.
B
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from the origin and passes through the points (4 comma negative 2) and (8 comma negative 3) in the 4th quadrant.
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from the origin and passes through the points (1 comma negative 4) and (4 comma negative 8) in the 4th quadrant.
D
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from the origin and passes through the points (negative 1 comma 4) and (negative 4 comma 8) in the 2nd quadrant.
2
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Which of the following describes the graph of y is equal to square root of negative 4 x minus 36 end root compared to the parent square root function?

A
stretched by a factor of 2 , reflected over the x -axis, and translated 9 units right
B
stretched by a factor of 2 , reflected over the y -axis, and translated 9 units left
C
stretched by a factor of 2 , reflected over the x -axis, and translated 9 units left
D
stretched by a factor of 2 , reflected over the y -axis, and translated 9 units right
3

How does the graph of y is equal to square root of x plus 2 compare to the graph of the parent square root function?

A
The graph is a horizontal shift of the parent function 2 units left.
B
The graph is a horizontal shift of the parent function 2 units right.
C
The graph is a vertical shift of the parent function 2 units up.
D
The graph is a vertical shift of the parent function 2 units down.
4

What is the domain of the function y is equal to square root of x ?

A
0 is less than or equal to x comma x is less than infinity
B
1 is less than or equal to x comma x is less than infinity
C
0 is less than x comma x is less than infinity
D
negative infinity is less than x comma x is less than infinity
5

Which graph represents y is equal to cube root of x ?

A
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 2 comma negative 8), (negative 1 comma negative 1), the origin, (1 comma 1), and (2 comma 8). The point of inflection is at the origin.
B
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma negative 2), (0 comma 0), and (8 comma 2). The curve has a point of inflection at the origin.
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The graph has a parabola opening upwards and has a vertex at (0 comma 0). It passes through (negative 2 comma 4) and (2 comma 4)
D
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from the origin and passes through points (1 comma 1), (4 comma 2), and (8 comma 3) in the 1st quadrant.
6

Which graph represents y is equal to cube root of x minus 5 ?

A
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 4 comma negative 2), (0 comma negative one point 5), (4 comma negative 1) and (9 comma 1 point 5). The curve has a point of inflection at (5 comma 0).
B
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma 3), (0 comma 5), and (8 comma 7). The curve has a point of inflection at (0 comma 5).
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 6 comma negative 1), (negative 5 comma 0), (2 comma 2), and (9 comma 2 point 5). The curve has a point of inflection at (negative 5 comma 0).
D
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma negative 7), (0 comma negative 5), and (8 comma negative 3). The curve has a point of inflection at (0 comma negative 5).
7

Find the domain and range of the function y=sqrt(x−4)+8 Express your answers as inequalities. Enter your answers in the boxes.

Answer:

4 ≤ x < ∞|8 ≤ y < ∞

8

Which graph represents y is equal to square root of x minus 4 end root ?

A
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (4 comma 0) and passes through points (5 comma 1), and (8 comma 2) in the 1st quadrant.
B
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (0 comma negative 4) and passes through points (4 comma negative 2), and (8 comma negative 1) in the 4th quadrant.
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve opens to the right in quadrants 1 and 2. The origin of the curve is at (negative 4 comma 0) and the curve passes through (5 comma 3).
D
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (0 comma 4) and passes through points (1 comma 5), and (4 comma 6) in the 1st quadrant.
9

Complete the sentence to describe the graph of the transformed function compared with the parent function. Enter your answers in the boxes.

Answer:

1|right|3|up

10

Which function represents the graph?

A
y is equal to square root of x minus 3 end root plus 3
B
y is equal to cube root of x plus 3 plus 3
C
y is equal to square root of x plus 3 end root plus 3
D
y is equal to cube root of x minus 3 plus 3

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Graphing Radical Functions — Quiz Answers —…