Transformation of Quadratics

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

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

• up 3

• down 3

• right 1

• left 1

• downward

• upward

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

Mathematical Equivalence

ON

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

• compress

• stretch

• (h,k) = (2,-3)

• 
• (h,k) = (-2,3)

• 
• (h,k) = (-3,-2)

• 

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up

• down

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the quadratic function: y=2(x - 3)² + 8?

• (3, 8)

• (-3, -8)

• (-3, 8)

• (3, -8)

What is the axis of symmetry in the function f(x) = (x-1)² +2

• x = 1

• x = -1

• x = 2

• x = -2