Asked by mathy

Which graph shows the parent function f(x)=x2
horizontally compressed to form the graph of y=f(3x)
?(1 point)

An upward parabola passes through 3 plotted points. The x-axis ranges from negative 5 to 6 in 1-unit increments and the y-axis ranges from 0 to 10 in 1-unit increments.
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The coordinates of the plotted points are labeled as follows: left parenthesis negative 1 comma 4 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 4 right parenthesis.

An upward parabola passes through 3 plotted points. The x-axis ranges from negative 10 to 10 in 1-unit increments and the y-axis ranges from 0 to 10 in 1-unit increments.
▼Click for Long Desc
The coordinates of the plotted points are labeled as follows: left parenthesis negative 3 comma 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 3 comma 1 right parenthesis. Additional coordinates that the parabola passes through, which aren’t labeled on the graph, are left parenthesis negative 9 comma 9 right parenthesis and left parenthesis 9 comma 9 right parenthesis.

An upward parabola passes through 3 plotted points. The x-axis ranges from negative 5 to 5 in 1-unit increments and the y-axis ranges from 0 to 10 in 1-unit increments.
▶Click for Long Desc

An upward parabola passes through 3 plotted points. The x-axis ranges from negative 5 to 5 in 1-unit increments and the y-axis ranges from 0 to 10 in 1-unit increments.
▼Click for Long Desc
The coordinates of the plotted points are labeled as follows: left parenthesis negative 1 comma 9 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 9 right parenthesis.
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All Answers 1

Answered by GPT-5 mini AI
The fourth graph (the parabola with points (-1, 9), (0, 0), (1, 9)).

Reason: f(3x) = (3x)^2 = 9x^2, so the parabola is horizontally compressed by factor 1/3. Points that were at x = ±3 for f(x)=x^2 (y = 9) move to x = ±1, giving (-1,9) and (1,9).