Question

WANT POINTS??

The graph shows g(x) = x2 − 8x + 15.


graph of parabola falling from the left, passing through 2 comma 3 to about 4 comma negative 1, and rising to the right, passing through 6 comma 3


What are the x-intercepts of g(x)?


(0, 3) and (0, 5)

(0, 4) and (0, 5)

(3, 0) and (5, 0)

(4, 0) and (5, 0)

Answer 1

(3, 0) and (5, 0)

Explanation:

Parabola equation is
g(x) = x²- 8x + 15

x-intercepts are the x-values when y = 0

Solve for x at g(x)=

==> x² - 8x + 15 = 0

This is a quadratic equation which has two solutions

Factoring x² - 8x + 15 gives (x - 3)(x - 5) which makes the quadratic equation
(x - 3)(x - 5) = 0

==> x - 3 = 0 giving x = 3 as one solution and x - 5 = 0 giving x = 5 as the other solution

At both intercepts, y = 0

So the correct answer is
(3, 0) and (5, 0)