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Unlimited Practice: Parabolas

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1. What is the axis of symmetry of the parabola with the equation $y = 10 x^{2} - 10 x - 7$ ?

$x = \frac{7}{10}$

$x = 10$

$x = - \frac{10}{7}$

$x = \frac{1}{2}$

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2. What is the vertex of the parabola with the equation $y = - x^{2} - \frac{3 x}{2} - \frac{6}{5}$ ?

$\left ( - \frac{3}{4}, \quad - \frac{51}{80}\right )$

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

$\left ( \frac{3}{2}, \quad \frac{3}{2}\right )$

$\left ( - \frac{3}{2}, \quad \frac{3}{2}\right )$

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3. What is the vertex of the parabola with the equation $y = 10 x^{2} - 4 x - 10$ ?

$\left ( 10, \quad -10\right )$

$\left ( 10, \quad 10\right )$

$\left ( \frac{1}{5}, \quad - \frac{52}{5}\right )$

$\left ( -10, \quad -10\right )$

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

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

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

$\left ( - \frac{3}{10}, \quad \frac{43}{20}\right )$

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

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5. What is the vertex of the parabola with the equation $y = - \frac{5 x^{2}}{8} + \frac{4 x}{3} + \frac{10}{7}$ ?

$\left ( - \frac{5}{8}, \quad \frac{5}{8}\right )$

$\left ( \frac{4}{3}, \quad \frac{4}{3}\right )$

$\left ( \frac{16}{15}, \quad \frac{674}{315}\right )$

$\left ( \frac{4}{3}, \quad - \frac{4}{3}\right )$

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