Quadratic Transformations (Reflect, Up, Down, Left, Right)

Find the equation of the parabola that has moved...

5 units to the right

• $y=x^2+5$

• $y=x^2-5$

• $y=\left(x+5\right)^2$

• $y=\left(x-5\right)^2$

Find the equation of the parabola that has moved...

8 units down

• $y=x^2+8$

• $y=x^2-8$

• $y=\left(x+8\right)^2$

• $y=\left(x-8\right)^2$

Find the equation of the parabola that has moved...

3 units up

• $y=x^2+3$
  

• $y=x^2-3$

• $y=\left(x+3\right)^2$

• $y=3x^2$

Find the equation of the parabola that has moved...

5 units to the left

• $y=x^2+5$

• $y=x^2-5$

• $y=\left(x+5\right)^2$

• $y=\left(x-5\right)^2$

Find the equation of the parabola that has been...

reflected

• $y=-x^2$
  

• $y=\left(x-1\right)^2$

• $-y=x^2$

• $y=x^2-1$

Find the equation of the parabola that has...

moved 3 units to the left

moved 5 units up

• $y=\left(x+3\right)^2+5$
  

• $y=\left(x+5\right)^2+3$

• $y=\left(x-3\right)^2+5$

• $y=\left(x+5\right)^2-3$

Describe the transformation of y = (x - 4)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Describe the transformation of y = x² + 4

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2