For the quadratic function, tell whether the graph opens up or down and whether the graph is wider, narrower, or the same shape as the graph of $f(x)=x^{2}$.
-$f(x)=\frac{1}{8} x^{2}-9$
A) Up; narrower
B) Down; narrower
C) Down; wider
D) Up; wider

Question

Quizplus · Accepted Answer

The graph opens up because the coefficient of $x^2$ is positive ($\frac{1}{8}$ > 0). It is wider than the graph of $f(x) = x^2$ because the absolute value of the coefficient ($\frac{1}{8}$) is less than 1, causing the graph to stretch horizontally.

For the Quadratic Function, Tell Whether the Graph Opens Up f(x)=x2f(x)=x^{2}f(x)=x2

For the Quadratic Function, Tell Whether the Graph Opens Up $f(x)=x^{2}$