Algebra Linear Function Transformation

Drag and drop the responses into the boxes to create an inequality that represents the graph below.​ ​

• y

• -2

• +3

• <

• <

• 2

• 1/2

• -1/2

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

• vertical stretch factor 2 and translate up 3

• vertical stretch factor 2 and translate left 3

• vertical stretch factor 2 and translate down 3

• translate right 2 and up three

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.

The linear equation f(x) = 5x, is transformed to k(x) = 5x - 6. How has the graph of the function changed.

• The slope and y-intercept DO NOT change.

• The slope changes by a factor of -6 and the y-intercept does not change.

• The slope and y-intercept change by a factor of -6.

• The slope does not change. The y-intercept changes by a decrease of 6.

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) - 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) - 7. Does this result in a horizontal or vertical translation?

• horizontal

• vertical

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 6). Does this result in a horizontal or vertical translation?

• horizontal

• vertical