Transformations of quadratics

What is the parent function of a quadratic?

• $y=x$

• $y=x^2$

• $y=\sqrt{x}$

• $y=\left|x\right|$

Which transformation transforms the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

If the blue graph is
f(x) = x² 
the red must be...

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

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)²

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

y=(x+2)²+4

*Mark all that apply.

• reflection across x-axis

• left 2

• up 4

• right 2

y=-2(x+5)²

*Mark all that apply.

• right 5

• left 5

• VC by a factor of 2

• reflection across x-axis

• VS by a factor of 2

y= -(x-11)²+6

*Mark all that apply.

• right 11

• reflection across x-axis

• VC

• up 6

y= 1/4x²+8

*Mark all that apply.

• VC by a factor of 1/4

• up 8

• left 8

• right 8

Describe the transformation: y=-3(x-2)²-4.

*Mark all that apply.

• reflection across x-axis

• VS by factor of 3

• VC by factor of 3

• down 4

• right 2