The x-intercepts are (4, 0) and (-2, 0)
The y-intercepts is (0, -8)
The equation in standard form is y = x² - 2x - 8
The vertex of the parabola is (1, 9)
The graph is attached
How to write the intercepts
According to the problem we have the equation
y = (x - 4) (x + 2)
The x-intercepts
0 = (x - 4) (x + 2)
x - 4 = 0
x = 4
x + 2 = 0
x = -2
The y-intercept
y = (0 - 4) (0 + 2)
y = 14 * 2
y = 8
The equation in standard form
y = (x - 4) (x + 2)
y = x² + 2x - 4x - 8
y = x² - 2x - 8
The vertex of the parabola
x = -b/2a
x = - -2/2
x = 1
y = 1² - 2 * 1 - 8
y = -9
v (1, 9)