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describe how the graph of the function is related to the graph of the p…

Question

describe how the graph of the function is related to the graph of the parent function. $y = -4x^{2}$
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Explanation:

Step1: Identify parent function

The parent function of $y=-4x^2$ is $y=x^2$.

Step2: Analyze coefficient sign

The negative sign ($-1$) reflects the graph over the $x$-axis.

Step3: Analyze coefficient magnitude

The coefficient $4>1$ vertically stretches the graph by a factor of 4.

Answer:

It is reflected over the x-axis, vertically stretched by a factor of 4, and has no horizontal/vertical shift.