Graphs Review

Graphs Review

Activating Question:

Write a slope-intercept equation

for this line

Slope-Intercept Form

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation and use it to find the cost of one year of dancing.

Multiple Choice

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. How much would it cost to be a member for 6 months?

• $25

• $125

• $50

• $150

Domain and Range

• Domain = set of possible x values

• Range = set of possible y values

• What are the domain and range of this graph?

Multiple Choice

What is the range of this graph?

• y ≥ 2

• y ≥ 3

• y ≤ 2

• y ≤ 3

Features of Quadratic Graphs

• ax² + bx + c → c is the y-intercept

• a(x - h)² + k → (h,k) is vertex

• f(x) = a(x – m)(x – n) → (m,0), (n,0) are x-intercepts

Multiple Choice

What is the y-intercept of 2x² + 6x + 4

• 1

• 2

• 3

• 4

Translating Graphs

• Moving up and down = adding (up) or subtracting (down) outside of parentheses

• Ex: x² + 7

• Moving left and right = adding (left) or subtracting (right) inside of parentheses

• Ex: (x + 7)²

Multiple Choice

What transformation would occur from x² to (x - 14)²?

• Moving up by 14

• Moving down by 14

• Moving left by 14

• Moving right by 14

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