Transformations of Quadratics

y= 1/4x²+8

*Mark all that apply.

• VC by a factor of 1/4

• up 8

• left 8

• right 8

y= 5/3(x-7)² - 8 *Mark all that apply.

• right 7

• up 8

• down 8

• VS by a factor of 5/3

Tags

CCSS.HSF-IF.C.7A

Write the equation of this transformation: up 8

• y=(x+8)²

• y= x²+8

• y= x²-8

• y=8x²

Write the equation of this transformation: reflection across x-axis, left 2, down 5

• y= -(x+2)²+5

• y= -(x+2)²

• y= (x-2)²-5

• y= -(x+2)²-5

Write the equation of this transformation: VC by a factor of 1/7 and up 2

• y= 7x² + 2

• y= (x+1/7)² + 2

• y= 1/7x² + 2

• y= 1/7x² - 2

Write the equation of this transformation: reflection across x-axis, left 3, up 15

• y= -(x+3)²+15

• y= -(x+3)² - 15

• y= (x+3)²+15

• y= -(x+15)²+3

Which describes the transformation of the graph of f(x) = x²  to the graph of  g(x) = -4x²

• Reflected, narrower

• reflected, wider

• shifted down 4 units

• shifted up 4 units

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

How did we transform from y=x² to

y = -3x²

• reflection in x-axis and shifts down

• reflection x-axis and narrower

• wider

• reflection x-axis and wider

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