Question

Which equation represents y= -x^2 + 6x + 7 in vertex form ?

Answer 1

we are given

$y= -x^2 + 6x + 7$

we can use vertex form parabola formula

$y= a(x-h)^2+k$

so, we can complete x square

$y= -(x^2 - 6x - 7)$

$y= -(x^2 - 6x - 7+3^2-3^2)$

$y= -(x^2 - 6x +3^2-16)$

$y= -(x-3)^2+16$

so, option-A........................Answer