State whether the graph of f ( x ) f\left(x\right) will be narrower or wider than g ( x ) = x 2 g\left(x\right)=x^2 & if it opens up or down. f ( x ) = − 3 7 x 2 f\left(x\right)=-\frac37x^2

For this problem, we want to determine if the graph of negative three sevenths x squared is narrower or wider than the graph of x squared, and if it opens up or down. And to determine this, it all depends on our value of a, which here is negative three sevenths. Now, since negative three sevenths is a value greater than negative one, this graph is going to be wider than our graph of x squared. And since it is negative, this graph is going to open downward.

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Multiple Choice

State whether the graph of $f (x)$ will be narrower or wider than $g (x) = x^{2}$ & if it opens up or down.
$f (x) = - \frac{3}{7} x^{2}$

Narrower; Down

Narrower; Up

Wider; Down

Wider; Up

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State whether the graph of f(x)f\(\left\)(x\(\right\)) will be narrower or wider than g(x)=x2g\(\left\)(x\(\right\))=x^2 & if it opens up or down.f(x)=−37x2f\(\left\)(x\(\right\))=-\(\frac\)37x^2

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State whether the graph of $f (x)$ will be narrower or wider than $g (x) = x^{2}$ & if it opens up or down.
$f (x) = - \frac{3}{7} x^{2}$