Linear Translations

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

• 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.

• 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

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

• Slope

• Horizontal change

• Vertical Change

• Motion

Describe the translation of the parent function y = 5x given the translated function y = 5(x+3) -2

• up 2

• right 3 down 2

• left 3 down 2

• left 3 up 2

Write the equation of the a line with a slope of 6 that is translated 4 units right

• y = 6x + 4

• y = 4x + 6

• y = 6(x - 4)

• y = 6(x + 4)

Write the equation of a line with a slope of -1/2 that is translated left 3 units

• y = -1/2x - 3

• y = -1/2 ( x + 3)

• y = -1/2 ( x - 3)

• y = 1/2 (x + 3)

Write the equation of a line with a slope of 3 that is translated left 2 units and up 3 units

• y = 3(x + 2) + 3

• y = 3(x - 2) - 3

• y = 3(x + 2) - 3

• y = 3(x - 2) + 3

Write the equation of a line with a slope of -1 that is translated right 2 units and up 5 units

• y = -x +2

• y = -(x + 2) + 5

• y = -(x - 2) + 5

• y = -(x - 2) - 5

Write the equation of a line with a slope of 1/4 that is translated right 1 unit and down 2 units

• y = 1/4(x +1) -2

• y = 1/4(x + 1)+2

• y = 1/4(x -1) +2

• y = 1/4(x -1) -2