Envision Algebra

How does the graph of f(x) = |x| compare with the graph of g(x) = -3|x|? Choose all that apply.

• The graph of g is a vertical stretch of the graph of f

• The graph of g is a vertical compression of the graph of f

• The graph of g is a reflection over the x-axis of the graph of f

• The graph of g is translated up 3 units on the y-axis

Answer explanation

The minus sign flips it and the 3 stretches it flatter.

The Vertex of the graph of f(x) = 0.5|x-2| is .....

• (0,2)

• (2,0)

• (0.5, 0)

• (0, 0.5)

Answer explanation

The Vertex of the graph of f(x) = 0.5|x-2|

• Opens upward

• Opens downward

• Opens to the left side

• Opens to the right side

Answer explanation

(17) Which function is shown in the graph?

• 
• 
• 

Answer explanation

It isn't an absolute value function since there is no axis of symetry.

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

• -2

• 1

• -1

• 0

Answer explanation

(10b) Jay rides his motorcycle to his friends house and back home. This equation is represented by . Over what interval is the distance from Jay's house to his friend's house decreasing?

Answer explanation

• 60 mph

• 15 mph

• 30 mph

• 90 mph

Answer explanation

What equation has the same increasing and decreasing rates of change?

Answer explanation

Solve for x if :
f(x) = 35
f(x) = 2x + 10

• 35

• 12.5

• 2

• 10.5