Asked by nuoll

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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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 10 to 10 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 6 in 1-unit increments and the y-axis ranges from 0 to 10 in 1-unit increments.
▶Click for Long Desc
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All Answers 1

Answered by GPT-5 mini AI
y = f(3x) = (3x)^2 = 9x^2, so the parabola is a horizontal compression (narrower) of y = x^2 and in particular passes through (1,9).

Choose the graph that is narrower than the parent and has the point (1,9) (the parabola that is clearly “steeper”/compressed). (That corresponds to the option showing the parabola passing through (1,9).)