The vertex of the parabola $x^{2} + 2 y = 8 x - 7$

(4, \frac{7}{2})

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(4, \frac{9}{2})

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(\frac{9}{2}, 4)

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(1, 0)

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Solution

The correct option is A $(4, \frac{9}{2})$
By completing the square, we can re write this equation as ${(x - 4)}^{2} = - 2 (y - \frac{9}{2})$ and this clearly shows that the vertex of the given parabola is at $(4, \frac{9}{2})$

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Question 100
Solve the following, select the rational numbers from the list which are also the integers.
$\frac{9}{4}, \frac{8}{4}, \frac{7}{4}, \frac{6}{4}, \frac{9}{3}, \frac{8}{3}, \frac{7}{3}, \frac{6}{3}, \frac{5}{2}, \frac{4}{2}, \frac{3}{1}, \frac{3}{2}, \frac{1}{1}, \frac{0}{1}, \frac{- 1}{1}, \frac{- 2}{2}, \frac{- 3}{2}, \frac{- 4}{2}, \frac{- 5}{2}, \frac{- 6}{2}$

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The vertex of the parabola x2+2y=8x−7

The correct option is A (4,92)By completing the square, we can re write this equation as (x−4)2=−2(y−92) and this clearly shows that the vertex of the given parabola is at (4,92)

The vertex of the parabola $x^{2} + 2 y = 8 x - 7$

The correct option is A $(4, \frac{9}{2})$
By completing the square, we can re write this equation as ${(x - 4)}^{2} = - 2 (y - \frac{9}{2})$ and this clearly shows that the vertex of the given parabola is at $(4, \frac{9}{2})$