Linear Transformation Equations

Transform the equation 3x - 2y = 8 to slope-intercept form.

• y = (3/2)x - 4

• y = (3/2)x - 2

• y = (3/2)x + 8

• y = (3/2)x + 4

Convert the equation y - 7 = 2(x + 3) to standard form.

• y - 2x = 13

• 2x + y = 13

• 2x + y = -13

• 2x - y = 13

Transform the equation 5x + 2y = -10 to point-slope form.

• y = -2.5x - 5

• y = -5x - 2.5

• y = 2.5x - 5

• y = -2.5x + 5

Transform the equation y + 3 = -2(x - 5) to slope-intercept form.

• y = -2x + 7

• y = -2x - 7

• y = -2x + 3

• y = 2x + 7

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

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

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

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 + 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