Question

Use the image to answer the question.

Two parabolas drawn on coordinate plane. X-axis range from negative 9 to 4 and y-axis range from negative 1 to 9 in unit increment.
▼Click for Long Desc
The solid parabola starts from left parenthesis negative 8 comma 9 right parenthesis peaks down at left parenthesis negative 5 comma 0 right parenthesis ends at left parenthesis negative 2 comma 9 right parenthesis. The dotted parabola starts from left parenthesis negative 3 comma 9 right parenthesis peaks down at left parenthesis 0 comma 0 right parenthesis ends at left parenthesis 3 comma 9 right parenthesis.

Which of the following correctly determines how many k units the parent function y=x^2
(shown as a solid line) was translated?

(1 point)

The parent function was translated 5 units to the right.

The parent function was translated 6 units to the right.

The parent function was translated 6 units to the left.

The parent function was translated 5 units to the left.

Answer 1

5 units to the left.

The parent parabola has vertex (0,0); the solid parabola's vertex is at (−5,0), so the graph was translated 5 units left.