Unit 6 TEST

Match the following

• x = 1, 5

• |2x| = 4

• x = 4, -8

• |x+2| = 6

• x = 2, -2

• |x| = 5

• x = 5, -5

• |x-3| = 2

What is the RANGE?

• all real numbers
• [1, ∞)
• (-∞, 1]
• none of these

Choose the correct translated function.

• f(x)= |x|+2
• f(x)= |x|-2
• f(x)= -|x|
• f(x)= -|x|+2

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

Mathematical Equivalence

OFF

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both sides

• Split into two equations

The function g can be thought of as a translation (shifted) version of f(x)=|x|. Write an equation for g(x).

g(x)=|x​ (a)   |​ (b)  

• +6

• -2

• -6

• 2

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

(a)  

(b)  

• parent function

• move up
• move down
• move to the right
• move to the left
• vertical reflection

• vertical stretch

• vertical compression

What is the range?

• -7 ≤ y ≤ 5

• -9 ≤ y ≤ 3

• -5.5 ≤ y ≤ -0.5

• y ≤ 5

Match each equation to its vertex.