quadratics review

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Solve by factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1
• x = 4 and x = 3
• x = 1/4 and x = -3
• x = -1/4 and x = 3

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Convert x²-9x+20=0 to factored form and solve.

• (x-10)(x+2); x=-2, 10
• (x+4)(x+5); x=-5, -4
• (x-4)(x-5); x=4, 5
• Not factorable

What is the vertex of y=x²+4x+3?

• (2,1)
• (-2,1)
• (0,0)
• (-2,-1)

What is the axis of symmetry for the following equation?

y=4x²-8x+9

• x = 5

• x=1

• y = 1

• y = 5

What is the vertex of the quadratic function: y=1/2(x-3)²+8?

• (3,8)
• (-3,-8)
• (-3,8)
• (3,-8)

What are the x-intercepts?

• 0 and 2
• -4 and 0
• 2 and 3
• 0 and 4

Which of the following are other words for zeros? (Choose ALL that apply)

• x-intercepts

• roots

• vertex

• solutions

• y-intercepts