Question

The parabola descends and then rises in quadrant 2. The curve starts passes through left parenthesis negative 3.6 comma 5 right parenthesis, left parenthesis negative 3 comma 2 right parenthesis, has a valley at left parenthesis negative 2 comma 0 right parenthesis, rises through left parenthesis negative 1 comma 2 right parenthesis, and left parenthesis negative 0.4 comma 5 right parenthesis. All values are approximate.


The graph of a transformed function is shown. Determine the parent function and the equation of the transformed function.

(1 point)

The parent function is y=x2
. The equation of the transformed function is y=(x+2)2
.

The parent function is y=(x+2)2
. The equation of the transformed function is y=x2
.

The parent function is y=x2
. The equation of the transformed function is y=(x−2)2
.

The parent function is y=(x−2)2
. The equation of the transformed function is y=x2
.
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Answer 1

Select: The parent function is y = x^2. The transformed function is y = (x + 2)^2.

Reason: The vertex moved from (0,0) to (−2,0), a left shift of 2, so replace x with x+2 in the parent y = x^2.