Algebra 1 Transforming Linear Functions

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 3. Describe the transformation. (a)  

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Match the following

• The line shifted 3 units up.

• f(x+6)

• The line shifted 6 units down.

• f(x)+3

• The line shifted 3 units to the left.

• f(x-6)

• The line shifted 6 units to the right.

• f(x+3)

• The line shifted 6 units to the left.

• f(x)-6

• left

• right

• up

• down

• vertically

• horizontally

• horizontally

• vertically

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5

• Vertical stretch be a factor of 5

• Vertically shrink by a factor of 1/5

•  Horizontal stretch by a factor of 5

The line is moved up 25 units.

What's the new equation?

• y = 4x + 5

• y = 29x - 20

• y = 4x - 45

Identify the steeper line:

• y = 3x + 4

• y = 6x + 11

Which line is steeper?

• y = -5x - 1

• y = -2x - 7

A line's y-intercept is changed from 8 to 2. Which way did it shift?

• up

• down

• left

• right