Transformations in Graphing Quadratic Equations

• Vertical stretch by 3, reflection in x-axis

• Horizontal stretch by 3, reflection in x-axis

• Horizontal shrink by 1/3, reflection in y-axis

• Vertical stretch by 3, reflection in y-axis

Tags

CCSS.HSF.BF.B.3

What are the transformations of the graph compared to the graph of f\left(x\right)=x^2?

• Left 3, down 4

• left 4, down 3

• right 3, down 4

• vertical stretch by 2, left 3, down 4

• vertical stretch by 2, right 3, down 5.

• vertical reflection, left 3, down 5.

• vertical stretch by 2, left 3, down 5

• vertical reflection, vertical stretch of 3
  

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

• (h,k) = (-3,-2)

• 
• (h,k) = (-2,3)

• 
• (h,k) = (2,-3)

• 

• It is shifted 2 units to the left.

• It is shifted 2 units to the right.

• It is shifted 2 units up.

• It is shifted 2 units down.

• Maximum

• Left 5

• Down 8

• vertical shrink

• Minimum

• Right 5

• Up 8

• Vertical Stretch

• No Vertical Shift

• It is shifted 3 units to the left and 4 units down.

• It is shifted 3 units to the right and 4 units up.

• It is shifted 3 units to the left and 4 units up.

• It is shifted 3 units to the right and 4 units down.

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4