Transformations Graphs

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7

• y = (x - 4)² + 7

• y = (x + 7)² - 4

• y = |x + 4| - 7

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which description could describe this transformation?

• Vertical compression by 1/2

• Horizontal compression by 1/2

• Horizontal stretch by 2

• Vertical stretch by 1/2

The parent is in purple and transformed is in black. Which equation would result in the black?

• f(x) = |2x|

• f(x)=|x|+2

• f(x)=|x|+1/2

• f(x)=|1/2x|

Which function is described by the graph shown? (assume no stretches or compressions)

Tags

CCSS.HSF-IF.C.7D

• A vertical stretch by a factor of 4 and shift down 3; Horizontal shift left 1

• A vertical compression by a factor of 1/4 and shift down 3; horizontal shift left 4

• A horizontal stretch by a factor of 1/4 and shift right 1; vertical shift down 3
  

• A horizontal compression by a factor of 1/4 and shift left 1; vertical shift down 3

f(x) = |-x + 3|

Describe the horizontal transformations

• Reflect over y-axis

  Left 3

• Reflect over y-axis

  Right 3

• Reflect over x-axis

  Left 3

• Reflect over x-axis

  Right 3

Which function is described by the graph shown?(assume no stretches or compressions)

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

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)?

• g(x) = -x³

• g(x) = x³ - 1

• g(x) = (x + 1)³

• g(x) = (x - 1)³

Tags

CCSS.HSF.BF.B.3