Graphing Basic Quadratic Equations

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

What is the vertex of: y= (x+ 4)² - 5

• (4,-5)

• (-4,-5)

• (-4,5)

• (4,5)

What is the vertex of: y= (x-3)² + 6

• (-3,6)

• (-3,-6)

• (3,6)

• (3,-6)

Compare y = x² + 5 to the parent function y = x²

• moves 5 units right

• moves 5 units left

• moves 5 units up

• moves 5 units down

Compare y = x² - 7 to the parent function y = x²

• moves 7 units right

• moves 7 units left

• moves 7 units up

• moves 7 units down

Compare y = (x-8)² to the parent function y = x²

• moves 8 units right

• moves 8 units left

• moves 8 units up

• moves 8 units down

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 = 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

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