Question

19 POINTS
find the axis of symmetry for this function

Answer 1

x = - 3

Explanation:

given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then the equation of the axis of symmetry is

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

f(x) = - 2x² - 12x + 36 ← is in standard form

with a = - 2 and b = - 12

then equation of axis of symmetry is

x = -
`(-12)/(2(-2))` = -
`(-12)/(-4)` = - 3

that is x = - 3