Graphing in Vertex Form

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.C.7

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF.IF.C.7

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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

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

• f(x) = -(x + 2)² -4

• f(x) = (x - 2)² - 4

• f(x) = -3(x - 2)² - 4

• f(x) = 3(x + 2)² - 4

Tags

CCSS.HSF-IF.C.7A

Which of the following is a transformation of the graph y = (x - 5)² ? 

• Shifts right 5.
• Shifts left 5.
• Shifts up 5.
• Shifts down 5.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which of the following is a transformation of the graph y = x² + 4 ?

• Shifts left 4.
• Shifts right 4.
• Shifts up 4.
• Shifts down 4.

Tags

CCSS.HSF.BF.B.3

Given: y = 2(x - 5) + 6, the vertex is

• (2,-5)
• (-5,6)
• (2,6)
• (5,6)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

Given: y = 1/2(x + 4) - 5, the equation of the axis of symmetry is

• y = 4

• x = -4

• x = 4

• x = -5