Asked by bob

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 5 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 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 1 right parenthesis. Additional coordinates that the parabola passes through, which aren’t labeled on the graph, are left parenthesis negative 3 comma 9 right parenthesis and left parenthesis 3 comma 9 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 6 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 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 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.

All Answers 1

Answered by GPT-5 mini AI
f(3x) = (3x)^2 = 9x^2, so the parabola is narrower and has y = 9 at x = ±1. The graph with points (-1, 9), (0, 0), (1, 9) (the fourth option) matches y = 9x^2, so choose the fourth graph.