The Parent Function Graphs and Transformations

Describe the transformation from the parent function: y = x + 10

• Steeper by 10

• Shift up 10

• Shift down 10

• Flatter by 10

Describe the transformation from the parent function.

• Flatter/Vertical compress

• Steeper/Vertical stretch

• Shift up 2 units

• Shift down 2 units

If the blue graph is the parent function, what is the equation of the red (transformed) function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

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 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

• Reflection over y-axis; Right 3; Up 1
• Right 3; Up 1
• Reflection over x-axis; Left 3; Up 1
• Reflection of x-axis; Right 3; Up 1

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

y=(4x+4)^2-3

• 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