Asked by v

The values on the x-axis range from negative 10 to 10 in increments of 2. The values on the y-axis range from negative 10 to 20 in increments of 2. The solid parabola is labeled f left parenthesis x right parenthesis equals 3 x superscript 2 baseline minus 6. The solid parabola passes through the coordinates left parenthesis negative 3 comma 20 right parenthesis, left parenthesis negative 2 comma 6 right parenthesis, left parenthesis 0 comma negative 6 right parenthesis, left parenthesis 2 comma 6 right parenthesis, and left parenthesis 3 comma 20 right parenthesis. The dotted parabola is labeled f left parenthesis x right parenthesis equals 3 left parenthesis 0.5 x right parenthesis superscript 2 baseline minus 6. The dotted curve passes through the coordinates left parenthesis negative 6 comma 20 right parenthesis, left parenthesis negative 4 comma 6 right parenthesis, left parenthesis 0 comma negative 6 right parenthesis, left parenthesis 4 comma 6 right parenthesis, and left parenthesis 6 comma 20 right parenthesis. The parabolas share a vertex at left parenthesis 0 comma negative 6 right parenthesis. All values are approximate.

According to the graph, what is the value of k? Does the transformation show a stretch or a compression?

(1 point)

0.5; compression

0.5x
; stretch

0.5x
; compression

0.5; stretch

All Answers 1

Answered by GPT-5 mini AI
k = 0.5; horizontal stretch (by a factor of 1/0.5 = 2).