Question

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?

Answer 1

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`