QUESTION IMAGE
Question
describe how the graph of the function is related to the graph of the parent function. $y = -4x^{2}$
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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.
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It is reflected over the x-axis, vertically stretched by a factor of 4, and has no horizontal/vertical shift.