Question

Find the equation of the axis of symmetry
for this function.
f(x) = 8x2 + 6x + 19

Answer 1

x = -
`(3)/(8)`

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) = 8x² + 6x + 19 ← is in standard form

with a = 8 and b = 6 , then equation of axis of symmetry is

x = -
`(6)/(16)` = -
`(3)/(8)`