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Using Equations to Find Graphs

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Last updated over 3 years ago
13 questions
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Watch this video if you need support: https://instruction.gwinnett.k12.ga.us/d2l/le/content/2541956/viewContent/42005688/View
Use these equations for Function i to answer the next three questions:
Standard Form:
i(x) = x2 – 5x
Intercept Form:
i(x) = x(x - 5)
Question 1
1.

What is the y-intercept for Function i? (Write as an ordered pair)

Question 2
2.

What is the left x-intercept?

Question 3
3.

What is the right x-intercept?

Question 4
4.

What is the vertex?

Use these equations for Function j to answer the next three questions:
Standard Form:
j(x) = -x2 + 5x
Intercept Form:
j(x) = -x(x – 5)
Question 5
5.

What is the y-intercept for Function j? (Write as an ordered pair)

Question 6
6.

What is the left x-intercept?

Question 7
7.

What is the right x-intercept?

Question 8
8.

What is the vertex?

Use these equations for Function k to answer the next three questions:
Standard Form:
k(x) = x2 + 4x + 4
Intercept Form:
k(x) = (x + 2)(x + 2)
Question 9
9.

What is the y-intercept for Function j? (Write as an ordered pair)

Question 10
10.

What is the x-intercept?

Question 11
11.

What is the vertex?

Based on what you have learned, graph the following functions on the coordinate plane.
Question 12
12.

Intercept Form: f(x) = (x - 1) (x + 1)
Standard Form: f(x) = x2 - 1

Question 13
13.

Intercept Form: f(x) = (x - 4.5) (x + 1.5)
Standard Form: f(x) = x2 - 3x - 6.75