# Sample quiz on the range of a quadratic function Main home here.

1. What is the range of the parent quadratic function $y=x^2$?
$\{y\in\mathbb{R}~|~y> 0\}$
$\{y\in\mathbb{R}~|~y\geq 0\}$
$\{x\in\mathbb{R}~|~x\geq 0\}$
$\{y\in\mathbb{R}~|~y< 0\}$
2. What is the range of the quadratic function $y=x^2+4$?
$\{y\in\mathbb{R}~|~y\geq 0\}$
$\{y\in\mathbb{R}~|~y> 4\}$
$\{x\in\mathbb{R}~|~x\geq 4\}$
$\{y\in\mathbb{R}~|~y\geq 4\}$
3. What is the range of the quadratic function $y=-3x^2+8$?
$\{y\in\mathbb{R}~|~y\leq 8\}$
$\{y\in\mathbb{R}~|~y\geq 8\}$
$\{y\in\mathbb{R}~|~y\geq 3\}$
$\{y\in\mathbb{R}~|~y\geq 0\}$
4. Find the range of the quadratic function $y=x^2+x$.
$\{y\in\mathbb{R}~|~y\geq 0\}$
$\{y\in\mathbb{R}~|~y> -\frac{1}{4}\}$
$\{y\in\mathbb{R}~|~y\leq -\frac{1}{4}\}$
$\{y\in\mathbb{R}~|~y\geq -\frac{1}{4}\}$
5. Find the range of the quadratic function $y=-x^2+2x$.
$\{y\in\mathbb{R}~|~y\leq -1\}$
$\{y\in\mathbb{R}~|~y\leq 1\}$
$\{y\in\mathbb{R}~|~y\geq 1\}$
$\{y\in\mathbb{R}~|~y> 1\}$
6. Find the range of the quadratic function $y=2x^2+3x-1$.
$\{y\in\mathbb{R}~|~y\geq -\frac{17}{8}\}$
$\{y\in\mathbb{R}~|~y\leq -\frac{17}{8}\}$
$\{y\in\mathbb{R}~|~y\geq \frac{17}{8}\}$
$\{y\in\mathbb{R}~|~y\geq \frac{8}{17}\}$
7. Find the range of the quadratic function $y=x^2+4x-4$
$\{y\in\mathbb{R}~|~y\geq 0\}$
$\{y\in\mathbb{R}~|~y\geq 8\}$
$\{y\in\mathbb{R}~|~y\geq -8\}$
$\{y\in\mathbb{R}~|~y\leq -8\}$
8. Find the range of the quadratic function $y=-x^2-x-1$
$\{y\in\mathbb{R}~|~y< -\frac{3}{4} \}$
$\{y\in\mathbb{R}~|~y\leq -\frac{4}{3}\}$
$\{y\in\mathbb{R}~|~y\geq -\frac{3}{4}\}$
$\{y\in\mathbb{R}~|~y\leq -\frac{3}{4}\}$
9. The range of the quadratic $y=ax^2+3x+4$ is $\{y\in\mathbb{R}~|~y\leq -\frac{7}{4}\}$. The value of $a$ is $\cdots$?
$a=-1$
$a=-2$
$a=2$
$a=1$
10. The range of the quadratic $y=x^2+4x+c$ is $\{y\in\mathbb{R}~|~y\geq 0\}$. The value of $c$ is $\cdots$?
$c=0$
$c=4$
$c=-4$
$c=-1$