Use the images to answer the question.
Parent Function:
The curve f of x is graphed in quadrant 1 of a coordinate plane. The curve starts at the origin and ascends through the points left parenthesis 1 comma 1 right parenthesis and left parenthesis 4 comma 2 right parenthesis.
Transformation 1:
The curve g of x is graphed in quadrant 2 of a coordinate plane. The curve starts at the origin and ascends through the points left parenthesis negative 1 comma 1 right parenthesis and left parenthesis negative 4 comma 2 right parenthesis.
Transformation 2:
The curve h of x is graphed in quadrant 4 of a coordinate plane. The curve starts at the origin and descends through the points left parenthesis 1 comma negative 1 right parenthesis and left parenthesis 4 comma negative 2 right parenthesis.
The first image shows the parent square root function f(x)=x−−√
. The next two images show a transformation of the parent function. Use the following choices to determine the rule used to transform f(x)
. Enter the option number that corresponds to your response.
Option #1: ry=0
Option #2: rx=0
Option #3: ry=x
Option #4: ry=−x
(1 point)
In Transformation 1, the rule to transform f(x)
to g(x)
is Option #
.
In Transformation 2, the rule to transform f(x)
to g(x)
is Option #
.
In Transformation 1, the rule to transform f(x) to g(x) is Option #4: ry=−x.
In Transformation 2, the rule to transform f(x) to g(x) is Option #3: ry=x.
In Transformation 1, the curve g(x) in quadrant 2 is a reflection across the y-axis of the parent function f(x) in quadrant 1. Therefore, the rule to transform f(x) to g(x) is Option #4: ry = -x.
In Transformation 2, the curve h(x) in quadrant 4 is a reflection across the x-axis of the parent function f(x) in quadrant 1. Therefore, the rule to transform f(x) to h(x) is Option #3: ry = x.