Question

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

Answer 1

Answer:

x = $\frac{3}{10}$

Step-by-step 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

$x_{vertex}$ = - $\frac{b}{2a}$

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

with a = 5 and b = - 3, thus

$x_{vertex}$ = - $\frac{-3}{10}$ = $\frac{3}{10}$

Thus the equation of the axis of symmetry is x = $\frac{3}{10}$