Transforming Linear Equations

• The parent graph is shifted UP 3 units.

• The parent graph is shifted DOWN 3 units.

• The parent graph is shifted LEFT 3 units.

• The parent graph is shifted RIGHT 3 units.

• Graph g shifted down 4 units.

• Graph g shifted up 4 units.

• Graph g is steeper by a factor of 4.

• Graph g is less steep by a factor of 1/4.

To determine how STEEP a line will be, you must look at the equation's

• x-intercept

• y-intercept

• slope

• zeros

• The graph is STEEPER and moves UP 3 units.

• The graph is LESS STEEP and moves UP 3 units.

• The graph is STEEPER and moves DOWN 3 units.

• The graph is LESS STEEP and moves DOWN 3 units.

Which graph can be defined by the function y = -3x + 2?

• Graph A

• Graph B

• Graph C

• Graph D

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

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled (a)  

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

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

• 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

• left

• right

• up

• down