Sample quiz on the range of a quadratic function
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  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 $\cdots$?
    $c=0$
    $c=4$
    $c=-4$
    $c=-1$