Question

describe how the graph of the function $y = -\frac{2}{3}x^{2}$ is related to the graph of the parent function.
the parent function is select choice and select choice
select choice
reflected across the x-axis
reflected across the y-axis
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Explanation:

The parent function for quadratic functions is $y=x^2$. The given function $y=-\frac{2}{3}x^2$ has a negative coefficient, which reflects the parent graph across the x-axis, and a coefficient with absolute value $\frac{2}{3}<1$, which vertically compresses the graph.

Answer:

The parent function is $y=x^2$, reflected across the x-axis, and vertically compressed by a factor of $\frac{2}{3}$.