The vertex form of the equation of a parabola is y=1/2(x-4) squared+13. What is the standard form of the equation?

Mathematics

1 answer:

krok68 [10]3 years ago

4 0

Given:

$y = \frac{1}{2} {(x - 4)}^{2} + 13$

simplify the square factor:

$y = \frac{1}{2} ( {x}^{2} - 8x + 16) + 13$

$y = \frac{1}{2} {x}^{2} - 4x + 8 + 13$

the solution is then:

$y = \frac{1}{2} {x}^{2} - 4x + 21$

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Answer:

See attached diagram

Step-by-step explanation:

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