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A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# Given the parent function of f(x) = x^{4}, what change will occur when the function is changed to f(-2x)?

Graph opens the same way and is narrower

Graph opens the same way and is wider

Graph opens the opposite way and is narrower

Graph opens the opposite way and is wider

**Solution:**

It is given that

f(x) = x^{4}

When f(-2x) = (-2x)^{4} = 16x^{4}

f(-2x) = -16x^{4}

Graph opens the same way up and is narrower as it gets shrunk on the transformation of f(x) to f(-2x).

Thus the graph opens the same way and is narrower.

## Given the parent function of f(x) = x^{4}, what change will occur when the function is changed to f(-2x)?

Graph opens the same way and is narrower

Graph opens the same way and is wider

Graph opens the opposite way and is narrower

Graph opens the opposite way and is wider

**Summary:**

Given the parent function of f(x) = x^{4}, the graph opens the same way and is narrower when the function is changed to f(-2x).

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