Completing the Square Practice

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a
• x = (-b ±√b² - 4ac)/2a
• y = ax² + bx + c
• y = a(x - h)² + k

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Complete the square.

x² - 14x + ____

• - 196

• 49

• - 49

• 28

Complete the square.

x² + 6x + ____

• 9

• 12

• 36

• - 9

Complete the Square

x² - 10x + ____

• x² + 10x - 100

• x² - 10x + 100

• x² + 10x - 25

• x² - 10x + 25

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

Given the perfect square trinomial, identify the equivalent expression

x²+14x+49

• (x+14)²

• (x+49)²

• (x-7)²

• (x+7)²