Graphing Quadratics - Standard and Vertex Form

Does the graph of

-2(x + 5)² + 2

have a minimum or a maximum?

• Minimum

• Maximum

• It has neither.

• It has both.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• (2,-5)

• (-5,6)

• (2,6)

• (5,6)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• y = 4

• x = -4

• x = 4

• x = -5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

What are the zeros/roots/solutions of the function

x² + 3?

• There are none. It does not cross the x-axis

• (-1,0) and (1,0)

• (0, -1) and (0, 1)

• It is impossible to determine.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

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 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.APR.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which variable, when negative, can cause the parent function to reflect across the x-axis (face downwards)?

• a

• h

• k

Tags

CCSS.HSF.BF.B.3

What is the y-intercept?
f(x) = -2x² + 4x - 6

• (0, 6)
• (0, -6)
• (6, 0)
• (-6, 0)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the axis of symmetry?
f(x) = x² - 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7