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tia_tia [17]
3 years ago
10

Which equation represents y = x2 + 16x + 70 in vertex form?

Mathematics
1 answer:
baherus [9]3 years ago
8 0

Answer:

y = (x + 8)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term )² to x² + 16x

y = x² + 2(8)x + 64 - 64 + 70

   = (x + 8)² + 6 ← in vertex form

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<u>Simplify both sides of the equation</u>

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<u>Subtract 2x from both sides</u>

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<u>Divide both sides by 10</u>

<u></u>\frac{10x}{10} =\frac{22}{10}<u></u>

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