Quiz #4 Standard Form to Vertex form and Complete the Square

Which quadratic is the narrowest graph?

• y = 3x²
• y = 4x²
• y = 2x²

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry of the given function?

• y = 1
• y = -1
• x = 1
• x = -1

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

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

Tags

CCSS.HSF-IF.C.7A

Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3

• Minimum value, because the a value is positive
• Maximum value, because the b value is positive
• Maximum value, because the a value is positive
• Minimum value, because the c value is negative

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

• 16
• 8
• 64
• 32

Tags

CCSS.HSA-REI.B.4B

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