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Unlimited Practice: Parabolas

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1. What is the axis of symmetry of the parabola with the equation $y = 4 x^{2} + 5$ ?

$x = \frac{1}{4}$

$x = - \frac{5}{4}$

$x = 0$

$x = \mathrm{undefined}$

2. What is the vertex of the parabola with the equation $y = - x^{2} + x + 8$ ?

$\left ( 1, \quad -1\right )$

$\left ( -8, \quad -8\right )$

$\left ( 1, \quad 1\right )$

$\left ( \frac{1}{2}, \quad \frac{33}{4}\right )$

3. What is the vertex of the parabola with the equation $y = - 5 x^{2} + \frac{x}{2} - \frac{1}{7}$ ?

$\left ( - \frac{1}{2}, \quad \frac{1}{2}\right )$

$\left ( 5, \quad 5\right )$

$\left ( -5, \quad -5\right )$

$\left ( \frac{1}{20}, \quad - \frac{73}{560}\right )$

4. What is the axis of symmetry of the parabola with the equation $y = - 7 x^{2} - 6 x - 1$ ?

$x = \frac{1}{6}$

$x = -7$

$x = - \frac{1}{7}$

$x = - \frac{3}{7}$

5. What is the vertex of the parabola with the equation $y = - 7 x^{2} - 5 x + 2$ ?

$\left ( - \frac{5}{14}, \quad \frac{81}{28}\right )$

$\left ( -5, \quad 5\right )$

$\left ( -2, \quad 2\right )$

$\left ( -5, \quad -5\right )$

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