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:

h(x) = (x − 1)2 − 9.

Answer:

Vertex : (1, -9)

Axis of symmetry : x = 1

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

y-intercept : (0, -8)

hope this is what you're looking for :)

See attachment for the graph of the function and the features.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

we have to use the drawing tool(s) to form the correct answer on the provided graph:

The function is given as

h(x) =(x - 1)^2 - 9

The x-intercept

Set h(x) to 0

So, we have

(x - 1)^2 - 9 = 0

Add 9 to both sides

(x - 1)^2 = 9

Take the square root of both sides

x - 1 = ±3

This gives

x = 1 ± 3

Expand

x = (1 - 3, 1 + 3)

Evaluate

x = (-2, 4)

Hence, the x-intercepts are x =2 and x = 4

The y-intercept

Set x to 0

So, we have

h(0) = (0 - 1)^2 - 9

Evaluate

h(0) = -8

Hence, the y-intercept is h(x) =-8

The vertex

We have

h(x) =(x - 1)^2 - 9

Expand

h(x) = x^2 - 2x + 1 - 9

Differentiate

h'(x) = 2x - 2

Set to 0 and solve for x

2x - 2 = 0

This gives

x = 1 --- this represents the axis of symmetry

Substitute x = 1 in h(x) =(x - 1)^2 - 9

h(1) =(1 - 1)^2 - 9

Evaluate

h(1) = -9

Hence, the vertex of the function is (1, -9)

See attachment for the graph of the function and the features

Read more about  quadratic functions at

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