Linear Transformations

Describe the transformation of f(x) that results in g(x):

g(x)=f(x)-4

• f(x) has been translated down 4.

• f(x) has been translated up 4.

• f(x) has been translated right 4

• f(x) has been translated left 4

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.
• f(x) has been translated up 4.
• f(x) has been translated down 4.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did the equation shift from the parent function? f(x) = -3f(x)

• Reflection, steeper

• Reflection, less steep

• Shifted down three units

• Shifted left 3 units

Given the parent function f(x)=x, determine all transformations that will happen if g(x)= f(-x) + 4

• Reflection/ shift left

• Reflection/ shift right

• Reflection/ shift down

• Reflection/ shift up

Given the parent function f(x)=x, determine all transformations that will happen if g(x)= f(1/2x)

• Shift up

• Shift down

• less steep

• more steep

The graphs of linear functions f and g are on the grid. Which function is best represented by the graph of g?

• g(x) = f(x) + 3

• g(x) = f(x) - 3

• g(x) = 3f(x)

• g(x) = -3f(x)

The graphs of f and g are on the grid. Which function best represents the function of g?

• g(x) = f(5x)

• g(x) = f(-5x)

• g(x) = f(x - 5)

• g(x) = f(x + 5)