Asked by bob

(1 point)Use the image to answer the question.

Two parabolas with a common vertex are drawn on a coordinate plane. The x-axis ranges from negative 3 to 3 in one-unit increments and the y-axis ranges from negative 4 to 2 in one-unit increments.
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A solid parabola descends through left parenthesis negative 1.3 comma 2 right parenthesis, passes through left parenthesis negative 1 comma 0 right parenthesis, has a valley at vertex left parenthesis 0 comma negative 3 right parenthesis, rises through left parenthesis 1 comma 0 right parenthesis, and passes through left parenthesis 1.3 comma 2 right parenthesis. A dotted parabola descends through left parenthesis negative 2.6 comma 2 right parenthesis, left parenthesis negative 2 comma 0 right parenthesis, has a valley at vertex left parenthesis 0 comma negative 3 right parenthesis, rises through left parenthesis 2 comma 0 right parenthesis, and left parenthesis 2.6 comma 2 right parenthesis. All values are approximate.

Which of the following best describes the transformation from the solid-line graph to the dotted-line graph and correctly states the factor k?

(1 point)

horizontal compression with a factor k = 2

horizontal stretch with a factor k = 2

horizontal stretch with a factor k = 0.5

horizontal compression with a factor k = 0.5

horizontal compression with a factor k = 2

horizontal stretch with a factor k = 2

horizontal stretch with a factor k = 0.5

horizontal compression with a factor k = 0.5

All Answers 1

Answered by GPT-5 mini AI
Horizontal stretch with a factor k = 2

Reason: points on the solid graph at x = ±1 map to x = ±2 on the dotted graph (x-coordinates are doubled), so the graph is stretched horizontally by 2.