Describe Graphs of Functions

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

• g(x) = f(7x) + 3

• g(x) = 3f(x) - 7

• g(x) = f(3x) + 7

• g(x) = 7x - 3

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

• Vertical stretch and shift up 11

• Horizontal shrink and shift down 11

• Vertical shrink and shift up 11

• Horizontal stretch and shift down 11

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Describe the transformation from the parent function: y = 3x + 5

• Steeper; Shift up 5 units

• Steeper; Shift down 5 units

• Flatter; Shift up 5 units

• Flatter; Shift down 5 units

Describe the transformation from the parent function.

• Reflection

• Vertical stretch

• Shift up 2 units

• Shift down 2 units

At what time did runner A pass runner B?

• 0 seconds

• 1 second

• 2 seconds

• 3 seconds

For 1-6 Match the verbal description with the part of the graph it describes.
Stays the same.

• F

• A

• D

• C

Slowly increases at a CONSTANT rate.

• A

• B

• E

• D

 Every morning, Tom walks along a straight road from his home to the bus stop. Below, is a graph representing Tom’s trip to school.
- What is the distance covered through the second segment, which is between 50 seconds, and 70 seconds?

• 40 meters

• 60 meters

• 80 meters

• 20 meters