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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?

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

1 Answer

7 votes
Given:


y = (1)/(2) {(x - 4)}^(2) + 13

simplify the square factor:


y = (1)/(2) ( {x}^(2) - 8x + 16) + 13


y = (1)/(2) {x}^(2) - 4x + 8 + 13

the solution is then:


y = (1)/(2) {x}^(2) - 4x + 21
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