Help! please I need the answer now !!

(- 5, 0 ), (7, 0 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, - 108 ), thus

y = a(x - 1)² - 108

To find a substitute (0, - 105 ) into the equation

- 105 = a(- 1)² - 108 ( add 108 to both sides )

3 = a

y = 3(x - 1)² - 108 ← equation in vertex form

To find the x- intercepts, let y = 0, that is

3(x - 1)² - 108 = 0 ( add 108 to both sides )

3(x - 1)² = 108 ( divide both sides by 3 )

(x - 1)² = 36 ( take the square root of both sides )

x - 1 = ± = ± 6  ( add 1 to both sides )

x = 1 ± 6, so

x = 1 - 6 = - 5

x = 1 + 6 = 7

x- intercepts are (- 5, 0), (7, 0)