What kind of transformation converts the graph of $f(x)=-2|x|-4$ into the graph of $g(x)=$ $-6|x|-4$ ?
horizontal shrink
vertical stretch
horizontal stretch
vertical shrink

Answer

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Answer

Final Answer: $\boxed{\text{vertical stretch}}$

Steps

Step 1 ：The transformation from $f(x)=-2|x|-4$ to $g(x)=-6|x|-4$ involves a change in the coefficient of $|x|$. This coefficient affects the steepness of the graph, which is a vertical transformation.

Step 2 ：Specifically, since the coefficient increases in magnitude from -2 to -6, the graph becomes steeper, which is a vertical stretch.

Step 3 ：Therefore, the transformation is a vertical stretch.

Step 4 ：Final Answer: $\boxed{\text{vertical stretch}}$

What kind of transformation converts the graph of $f(x)=-2|x|-4$ into the graph of $g(x)=$ $-6|x|-4$ ?horizontal shrinkvertical stretchhorizontal stretchvertical shrink

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What kind of transformation converts the graph of $f(x)=-2|x|-4$ into the graph of $g(x)=$ $-6|x|-4$ ?
horizontal shrink
vertical stretch
horizontal stretch
vertical shrink