Quadratic Transformation: Function Notation Quick Check

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

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

What does the transformation f(x)↦5f(x) do to the graph of f(x)?

• Stretches it vertically

• moves down

• moves up

• compresses it vertically

Which describes the transformation of 
f(x) = x² to the graph of g(x) = -x²?

• reflection across x-axis
• reflection across y-axis
• vertical compression
• horizontal compression

Transformations are horizontal if they are....

• inside parenthesis
• outside parenthesis
• there are no parenthesis

Tags

CCSS.HSF.BF.B.3

f(x) = x² is transformed to f(x) + 43.

Describe the transformation. Select all that apply

• up

• down

• left

• right

• vertical stretch