Linear Transformation Practice

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

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

Which transformation on

f(x) = x

is g(x) = -f(x)

• Goes Down

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

What is the linear parent function?

• y = x

• y = mx + b

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units

When t(x) = -7f(x) , what is one of the changes to the parent function?

• Moves up by 7 units

• Less steep

• More steep

• Moves down by 7 unit

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g? (Red to Blue)

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

• grandma function

• grandpa function

• parent function

• baby function

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.