Algebra Linear Transformation

Name the transformation from f to g.
f(x) = 2x - 6  ; g(x) = f(x + 5)

• Vertical translation up 5

• Horizontal translation left 5

• Vertical translation down 5

• Horizontal translation right 5

Name the transformation from f to g.
f(x) = 2x - 6  ; g(x) = f(-x)

• Reflection in y-axis

• Horizontal translation left 1

• Horizontal shrink by a factor of -1

• Reflection in x-axis

Name the transformation from f to g.
f(x) = 2x - 6  ; g(x) = -f(x)

• Reflection in y-axis

• Horizontal translation left 1

• Horizontal shrink by a factor of -1

• Reflection in x-axis

Name the transformation from f to g.
f(x) = 2x - 6  ; g(x) = f(1/2x)

• vertical stretch by a factor of 1/2

• horizontal stretch by a factor of 2

• horizontal stretch by a factor of 1/2

• vertical stretch by a factor of 2

Name the transformation from f to g.
f(x) = 2x - 6  ; g(x) = f(7x)

• vertical stretch by a factor of 7

• horizontal stretch by a factor of 1/7

• horizontal shrink by a factor of 1/7

• vertical shrink by a factor of 1/7

Name the transformation from f to g.
f(x) = 2x - 6  ; g(x) = f(x) - 6

• vertical stretch by a factor of 6

• horizontal translation left 6

• horizontal translation right 6

• vertical translation down 6

Name the transformation from f to g.
f(x) = 2x - 6  ; g(x) = 2/3f(x)

• vertical shrink by a factor of 2/3

• vertical stretch by a factor of 2/3

• horizontal stretch by a factor of 3/2

• horizontal shrink by a factor of 3/2

Name the transformation from f to g.
f(x) = 2x - 6  ; g(x) = f(2/3x)

• vertical shrink by a factor of 2/3

• vertical stretch by a factor of 2/3

• horizontal stretch by a factor of 3/2

• horizontal shrink by a factor of 3/2

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 function f(x) = x - 3, is transformed to h(x) = 2(x - 3). How has the graph changed.

• The slope changes by a factor of 2 and the y-intercept does not change.

• Both the slope and y-intercept change by a factor of 2.

• The slope does not change. The y-intercept changes by a factor of 2.

• The slope and y-intercept DO NOT change.