Question

Find the equation of the axis of symmetry for this function
F(x)= 5x^2 - 3x + 5

Answer 1

x =
`(3)/(10)`

Explanation:

Given a quadratic in standard form, ax² + bx + c : a ≠ 0

Then the axis of symmetry is a vertical line with equation x = h

where h is the x- coordinate of the vertex.

The x- coordinate of the vertex is

`x_(vertex)` = -
`(b)/(2a)`

f(x) = 5x² - 3x + 5 ← is in standard form

with a = 5 and b = - 3, thus

`x_(vertex)` = -
`(-3)/(10)` =
`(3)/(10)`

Thus the equation of the axis of symmetry is x =
`(3)/(10)`