M2M2D

Which of the following equations is in vertex form?

• f(x) = x² + 6x - 2
• f(x) = (x - 1)² + 2

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142
• f(x) = (x + 6)² - 34
• f(x) = (x + 6)² - 38
• f(x) = (x + 6)² + 34

Convert the equation
x²-12x+40
into vertex form

• (x+6)²-4
• (x+6)²+4
• (x-6)²-4
• (x-6)²+4

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1
• y = (x - 3)² + 1
• y = (x + 6)² - 10
• y = (x - 6)² + 10

• y=2(x+3)² - 9
• y=2(x-3)² - 9
• y=2(x+6)² - 9
• y=2(x-6)² - 9

Change to Factored Form:

y = x² + 16x + 63

• y = (x-7)(x+4)

• y = (x+7)(x-9)

• y = (x-3)(x-10)

• y = (x+7)(x+9)

Change to Factored form: y = x²-2x-15

• y = (x+5)(x-3)

• y = (x-5)(x-3)

• y = (x-5)(x+3)

• y = (x+5)(x+3)

Answer explanation

In this problem, the numbers must multiply to give a positive 12, but also add to give a negative 7.

Answer explanation

In this problem, the numbers must multiply to give a negative 24, but also add to give a positive 2.

Change to Factored Form:

y = 2x² + 13x + 15

• y = (2x + 1)(x + 15)

• y = (x + 3)(x + 5)

• y = (2x - 3)(x - 5)

• y = (2x + 3)(x + 5)