Transformation of Linear Function

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

Describe how the graph g(x) compares with f(x).

f(x) = 5x + 2

g(x) = 5(x + 7) + 2

• Up 7

• Down 7

• Left 7

• Right 7

How did the equation shift from the parent function? y = f(x + 7)

• Up 7

• Down 7

• Left 7

• Right 7

How did the equation shift from the parent function? y=(x)+2

• Shift up 2

• Shift down 2

• steeper

• flipped

Write a linear function for the data in the table.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Write a linear function for g(x) that shifts f(x) up 6 units.

Find the value of k for the function g.

• 3

• 4

• -4

• 1

Select a value for a that will give f(x) a compression and reflection over the x-axis.

• 2

• -3

• -1/2

• 7/8

• translate six right and 7 up

• translate six left and 7 up

• translate six right and 7 down

• translate six left and 7 down

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is a reflection.

• Graph g translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.