Question

F(x) = -x^2- 4x + 10
in the standard form
f(x) = a(x – h)^2 + k

Answer 1

y = - ( x + 2 )² + 14

Explanation:

f(x) = ax² + bx + c

f(x) = a(x - h)² + k (where (h, k) are coordinates of the vertex.

h = -
`(b)/(2a)`

~~~~~~~~~~~~

f(x) = - x² - 4x + 10

a = - 1, b = - 4, c = 10

h = -
`(-4)/(2(-1))` = - 2

k = - ( - 2)² - 4( - 2) + 10 = 14

(h, k) = ( - 2, 14 )

y = - ( x + 2 )² + 14