Answer:
(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)