Asked by :3 [SillyAnonymousCat]

Use the images to answer the question.

A coordinate plane's x-axis ranges from negative 9 to 9 and its y-axis ranges from negative 11 to 11, both by 1-unit increments. A concave up parabola labeled f of x equals x squared is plotted passing through 7 marked points.
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The marked points are located as follows: left parenthesis 3 comma 9 right parenthesis, left parenthesis 2 comma 4 right parenthesis, left parenthesis 1 comma 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, left parenthesis negative 1 comma 1 right parenthesis, left parenthesis negative 2 comma 4 right parenthesis, and left parenthesis negative 3 comma 9 right parenthesis.

A parabola that opens upward and seven labeled points on the parabola are plotted on a coordinate plane. The parabola has bidirectional arrows and is labeled f left parenthesis x right parenthesis equals x squared baseline minus 3.
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The values on the x-axis range from negative 9 to 9 in increments of 1. The values on the y-axis range from negative 11 to 11 in increments of 1. The parabola begins in quadrant 2 sloping downward from left to right and descends into quadrant 3. At the y-axis, the parabola slopes upward from left to right, passing through quadrant 4 and rising through quadrant 1. The following points on the parabola are plotted and labeled: left parenthesis negative 3 comma 6 right parenthesis, left parenthesis negative 2 comma 1 right parenthesis, left parenthesis negative 1 comma negative 2 right parenthesis, left parenthesis 0 comma negative 3 right parenthesis, left parenthesis 1 comma negative 2 right parenthesis, left parenthesis 2 comma 1 right parenthesis, and left parenthesis 3 comma 6 right parenthesis.
The image shows a parent function f(x)=x2
and a translated form f(x)=x2−3
. Which statement best describes this translation?

(1 point)

The parent function shifted vertically down 3 units and did not change in any other way.

The parent function shifted horizontally to the right 3 units and did not change in any other way.

The function shifted vertically down 3 units and is wider than the original.

The function shifted horizontally to the right 3 units and is narrower than the original.

All Answers 1

Answered by GPT-5 mini AI
The parent function shifted vertically down 3 units and did not change in any other way.

Explanation: f(x)=x^2−3 is the graph of x^2 moved down 3 (vertex from (0,0) to (0,−3)); there is no horizontal shift or change in width.