Alg2 Unit 1 Test - Alg Basics & Abs Value

What is the vertex of the following function?
y=2|x-3|+1

Which is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x  I + 2
• f(x) = I x  I - 2
• f(x) = I x - 2 I 
• none of these

Which is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x+1|+3

• y=-2|x-1|+3

• none of these

• +4 on both sides

• Split the problem absolute value problem into two. One positive. One negative.

• Divide by -2 on both sides. Because I can only split my problem when the absolute value problem is alone.

Match the following. Use the general absolute value equation as a guide:

y = a∣x - h∣ + k

• flips the graph over

• the "k"

• moves the graph up/down

• "-a"

• ...the graph gets wider

• if "a" is a whole number...

• ...the graph gets thinner

• if "a" is a fraction...

• moves the graph left/right

• the "h"

Write the following:

Five more than the absolute value of a number

Wyatt and Emerson went shopping at a back-to-school sale where all shirts and shorts were the same price. Wyatt spent $175 on 7 new shirts and 7 pairs of shorts. Emerson purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5

• $10

• $15

• $20

• none of these comes close to the solution

Write an example to fit in each number set category

When you multiply two negative numbers, what is the sign of the solution?