Vertical & Horizontal Transformations Day 1

Describe the transformation that occurred to get from f(x) to p(x). (Hint: The operations is inside parentheses. Use your chart!)

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Describe the transformation that occurred to f(x) to get to h(x).

h(x) = f(x) + 2 (Hint: The operations is outside parentheses. Use your chart!)

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

Describe the transformation that occurred from f(x) to k(x).

k(x) = f(x) - 9

• vertical compression

• Down 9 units

• Left 9 units

• Right 9 Units

Describe the transformation of the equation below from the parent function of y = I x I, If the new function is y = I x - 4 I. (Hint: Treat the absolute value signs like parentheses. The operation is inside the "parentheses.")

• Left 4

• Right 4

• Up 4

• Down 4

What are the transformations from the parent function $y=x^2$ if the new function is  $y=\left(x-2\right)^3\ +\ 4$   ?
(Hint: First think about the operation inside the parentheses, then think about the operation outside the parentheses.)

• Horizontal shift right 2 ,  Vertical shift up 4

• Horizontal shift left 2,  Vertical shift up 4

• Horizontal shift right 2,  Vertical shift down 4

• Horizontal shift left 2,  Vertical shift up 4

Describe the transformation from dotted to solid. (Hint: Start at dotted, then move to solid. What direction did we go?)

• f(x + 4)

• f(x - 4)

• f(x) + 4

• f(x) - 4

Describe the transformation from dotted to solid. (Hint: Think about the movements from vertex to vertex both horizontally and vertically.)

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

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

Tags

CCSS.HSF.BF.B.3

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