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Mathematics, 06.06.2020 21:00 MileenaKitana

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.


Use the drawing tool(s) to form the correct answer on the provided graph.

Plot the x-intercept(s)

Answers

ansver
Answer from: Anonymouslizard

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).

ansver
Answer from: Quest

answer: it is a.,b.,d.

step-by-step explanation:

ansver
Answer from: Quest

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c

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Use the drawing tool(s) to form the correct answer on the provided graph. Plot the x-intercept(s),...