Shifting Functions Practice

f(x) = 5x² + 2

• Stretch of 5
  Up 2
• Shrink of 5
  Up 2
• Stretch of 5
  Down 2
• Shrink of 5
  Down 2

f(x) = |-x + 3|

• Reflect over y-axis
  Left 3
• Reflect over y-axis
  Right 3
• Reflect over x-axis
  Left 3
• Reflect over x-axis
  Right 3

Left 4 and up 7

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

• g(x)=(x=3)²
• g(x)=x²-3
• g(x)=x²+3
• g(x)=3x²

  . 
The blue is f(x)=|x|, red must be

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

Write an equation for the graph below.

• f(x)=x² + 2
• f(x) = (x-2)² + 1
• f(x)= (x+2)² - 1
• f(x)= (x+2)² + 1

• g(x)=(x-5)²

• g(x)=(x+5)²

• g(x)=x²+5

• g(x)=x²-5

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

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = -x³
• B.  g(x) = x³ - 1
• C.  g(x) = (x + 1)³
• D.  g(x) = (x - 1)³

Tags

CCSS.HSF.BF.B.3