Transformations

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

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

• grandma function

• grandpa function

• parent function

• baby function

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is translated up 6 units

• g(x) is translated down 6 units

• g(x) is translated left 6 units

• g(x) is translated right 6 units

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

• Graph g rotated

• Graph g translated down 4 units

• Graph g translated up 4 units

• Graph g reflected

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

Given f(x) = (x + 3)² , how did we transform from the parent function?

• Horizontal shift left 3

• Vertical shift up 3

• Horizontal shift right 3

• Vertical shift down 3

What type of function is shown?

• absolute value
• constant

• linear
• exponential

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Identify the parent function of the graph.

• Quadratic

• Rational

• Absolute Value

• Cubic