Use the drawing tool(s) to form the correct answer on the provided graph. Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of this function: (WILL GIVE THE RIGHT ANSWER BRANLIEST)

h(x) = (x − 1)2 − 9.

Vertex : (1, -9)

Axis of symmetry : x = 1

x-intercepts : (-2, 0), (4, 0)

y-intercept : (0, -8)

Step-by-step explanation:

Quadratic function to be graphed is,

h(x) = (x - 1)² - 9

By comparing this equation with the vertex form of the parabola,

f(x) = (x - h)² + k

here (h, k) is the vertex of the parabola.

Therefore, vertex of the parabola to be graphed will be (1, -9)

Since coefficient of highest degree term (x²) is positive, parabola will open upwards.

Axis of symmetry of the parabola,

x = 1

For x-intercepts,

(x - 1)² - 9 = 0

(x - 1)² = 9

(x - 1) = ±3

x = 1 ± 3

x = -2, 4

Points of x-intercepts will be (-2, 0), (4, 0).

For y-intercepts, (x = 0)

h(x) = (0 - 1)² - 9

      = 1 - 9

      = -8

So the point of y-intercept will be (0, -8).