Compare Quadratic Function to Parent Function

Determine the vertex of:

y = -3x²-6x+9

• (1,0)

• (3,-36)

• (-1,18)

• (-1,12)

Compare y = 4x² to y = x²

• moves to the left 4

• moves to the right 4

• vertical stretch

• vertical shrink

Compare y = 1/4 x² to y = x²

• moves 1/4 to the right

• moves 1/4 down

• vertical stretch

• vertical shrink

Compare y = (x+ 10)² to the parent function y = x²

• moves 10 units right

• moves 10 units left

• moves 10 units up

• moves 10 units down

Compare y = 1/2(x + 3)² + 5 to the parent function y = x²

• vertical stretch, moves 3 units left and 5 units up

• vertical shrink, moves 3 units left and 5 units up

• vertical shrink, moves 3 units right and 5 units up

• vertical stretch, moves 3 units right and 5 units up

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

• x = 1

• x = -1

• x = 2

• x = -2

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

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

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?

• y = x² - 5

• y = x² + 5

• y = (x - 5)²

• y = (x + 5)²