Algebra Function Transformation

What is the increasing interval for the function below?

What is the decreasing interval on the function shown?

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Identify the transformation from the graph of f(x)=x² to the graph g(x)= x² - 5

• shifted up five units

• shifted down five units

• shifted left five units

• shifted right five units

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Describe the transformation that occurred

t(x) = f(x) - 1

• Right 1 Unit

• Down 1 Unit

• vertical compression

• vertical stretch

Describe the transformation that occurred

s(x) = 7f(x)

• vertical compression

• Up 7 Units

• Over 7 Units

• vertical stretch

Describe the transformation that occurred

m(x) = f(x + 1)

• Left 1 Unit

• Right 1 unit

• vertical stretch

• up 1 unit

The red function is a transformation of the blue, parent function. Which option is a possible equation for the red function?

• 
• 
• 
• 

What is the range of the function?

• [-7, infinity)

• (7, infinity)

• [0, -infinity)

• [3, infinity)