Question

1. the graph of (f(x)=ax^{2}) opens downward and is wider than the graph of (f(x)=x^{2}). which of the following could be the value of a? a - 10 b 10 c 0.1 d - 0.1

Explanation:

Step1: Recall parabola properties

For the quadratic function $y = ax^{2}$, if the graph opens downward, then $a<0$. If the graph of $y = ax^{2}$ is wider than the graph of $y=x^{2}$, then $|a|<1$.

Step2: Analyze the conditions

Combining $a < 0$ and $|a|<1$, we get $- 1 < a<0$.

Answer:

A. -0.1