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 #
.

1 answer

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.
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