Transformations Using Function Notation

Describe the transformations from the original parent function f(x) = √x.
g(x) = - √(x) - 2

• Reflect over x-axis
  Down 2

• Reflect over y-axis
  Up 2

• Reflect over x-axis
  Up 2

• Reflect over y-axis
  Down 2

Tags

CCSS.HSF.BF.B.3

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

• Vertical Stretch of 5
  Down 2

• Vertical Shrink of 5
  Up 2

• Vertical Stretch of 5
  Up 2

• Vertical Shrink of 5
  Down 2

Describe the transformations from the original parent function f(x) = x².
f(x) = 4 - x²

• Left 4
  Down 1

• Reflect over x-axis
  Stretch of 4

• Reflect over x-axis
  Up 4

• Left 1
  Down 4

Which equation demonstrates a vertical compression or shrink?

• y = (17/12)x²

• y = 9x²

• y = (4/3)x²

• y = .3x²

Choose the correct transformations.

• horizontal shift to the right 4 and vertical shift down 2

• horizontal shift to the left 4 and vertical shift up 2

• horizontal shift to the right 4 and vertical shift up 2

• horizontal shift to the left 4 and vertical shift down 2

Choose the correct translated function.

• f(x) = |x| - 2

• f(x) = |x| + 5

• f(x) = |x - 5| - 2

• f(x) = |x + 5| - 2

Choose the correct translated function.

• f(x)= (x+5)²-3

• f(x)= (x-5)²-3

• f(x)= -(x+5)²-3

• f(x)= (x+3)²-5

Describe the effect on the vertex of the parabola y= x² - 2 if the equation is changed to y=x² + 4

• The vertex is translated upwards 6 units

• The vertex is translated downwards 6 units

• The vertex is translated upwards 4 units

• The vertex is translated downwards 4 units

What is the equation of this graph?

• f(x) = -(x + 1)² + 3

• f(x) = -(x - 1)² + 3

• f(x) = -(x - 1)² - 3

• f(x) = -(x + 1)² - 3

Tags

CCSS.HSF-IF.C.7A

Using f(x) instead of y

• Relation

• Function Notation

• Function

• Linear Function

Tags

CCSS.HSF.IF.A.2