A2 U5D1 - Quadratics Vertex/Standard Form

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

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

• y = 2

• x = 2

• x = -3

• y = -3

Tags

CCSS.HSA.REI.B.4

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What piece of information does c identify in the following equation?
y=ax²+bx+c

• Zeroes
• Axis of Symmetry
• Direction
• y-intercept

Given the equation for this parabola:

y= - (x-4)² - 3,

does this parabola have a maximum or minimum value?

• Maximum

• Minimum

• Not enough information

What is the domain of the function y = x² + 3?

• All Real Numbers
• x>3
• x<3
• It is impossible to determine.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Which of the following is the correct equation for the given graph?

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

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Tags

CCSS.HSA.REI.B.4

What is the range of the function?

• All Real Numbers

• $y\le0$

• $y\ge4$

• $y\le4$

What is the y-coordinate of the vertex of the quadratic function:

y = x² - 6x + 11?

• 2

• -2

• -3

• 3