3.5 Vertex Form & Complete the Square

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

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

What is the constant that should be added to the expression to complete the square: x²+16x

• 16
• 8
• 64
• 32

Complete the square and write in Vertex Form 
f(x) = x² + 4x + 9

• f(x) = (x+2)² + 5
• f(x) = (x - 2)² + 5
• f(x) = (x+4)² + 5
• f(x) = (x+2)² - 5

What's the vertex of the following quadratic function?
2x² - 8x + 11

• (-2, 3)
• (3, 2)
• (2, 3)
• (3, -2)

Find the vertex:
 $-5x^2+30x-30$  

• (3,-15)

• (3,15)

• (-3,-15)

• (-3,15)

What is the vertex of
f(x) = (x + 2)²?

• (-2, 0)
• (2, 0)
• (0, -2)
• (0, 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

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15
• f(x) = (x - 4)² + 17
• f(x) = (x - 4)² - 17
• f(x) = (x - 4)² + 65