Linear Transformations to Linear Parent Function

This is the parent function f(x). If the line, g(x), is translated 3 units up, what would the equation of the line be?

• f(x) + 3

• f(x) - 3

• 3f(x)

• -3f(x)

This line is known as f(x) and what else?

• grandma function

• grandpa function

• parent function

• baby function

How did the equation shift from the parent function? f(x)=(x-3)+5

• 3 right, 5 up

• 3 left, 5 up

• 3 Down

• Moved 5 right

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

• Graph g shifted down 3 units

• Graph g shifted down 4 units

• Graph g shifted up 4 units

• Graph g reflected

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

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

• Up 7

• Down 7

• Less steep

• Steeper

How did the equation shift from the parent function? y=(x-3)+5

• 3 right, 5 up

• 3 left, 5 up

• 3 Down

• Moved 5 right

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

• f(x) = 7x

• f(x) = x - 7

• f(x) = x + 7

• f(x) = 7x - 7

If the graph of the parent function f(x) = x is shifted 7 units up 5 left, what is the function?

• f(x) = (x+5)+7

• f(x) = (x+7)-5

• f(x) = x+12

• f(x) = 7x - 3

Is this function linear or non linear?

• Linear

• Non Linear