Quadratics and Parabolas

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.B.4

CCSS.HSF.IF.C.7

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

Tags

CCSS.HSG.GPE.A.2

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

• x=4
• x=-4
• x=1/2
• x=3

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.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.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.GPE.A.2

How can you tell the direction of the opening of the graph of a parabola by looking at the equation?

• The vertex tells you the direction of the opening
• The value of "a" tells you the direction of the opening.
• All parabolas open upward
• All parabolas open downward

What is the green dot on the parabola called?

• maximum
• minumum
• roots
• zeros

Tags

CCSS.HSA.REI.D.10