8.9 Complete the Square

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Write y = x² + 4x - 1 in vertex form.

• y = (x - 2)² + 5
• y = (x + 2)² - 5
• y = (x + 2)² - 1
• y = (x +2)² + 3

Write y = x² - 18x + 52 in vertex form.

• y = (x - 9)² + 113
• y = (x + 9)² - 29
• y = (x - 9)² + 52
• y = (x - 9)² - 29

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

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

Match the following.

• The line that cuts the parabola in half

• Axis of Symmetry

• The turning point of the parabola

• Domain

• All possible output (y) values

• Range

• All possible input (x) values

• Parabola

• The shape of a quadratic graph

• Vertex

What is the y-intercept of 
f(x)=2x² + 4x + 6

• (6 , 0)
• (-6 , 0)
• (0, -6)
• (0 , 6)

Write y = x² - 18x + 52 in vertex form.

• y = (x - 9)² + 113
• y = (x + 9)² - 29
• y = (x - 9)² + 52
• y = (x - 9)² - 29

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7
• x = 4, -10
• x = -4 +- √7
• x = 10, -4

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}