Graphing Quadratics in 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-IF.C.7A

y = ax² + bx + c is

• a quadratic equation in vertex form
• a linear equation in vertex form.
• a quadratic equation in standard form.
• a linear equation in standard form.

Tags

CCSS.HSA.REI.D.10

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

• (2,-5)

• (-5,6)

• (2,6)

• (5,6)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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.HSF-IF.C.7A

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

• y = -2
• x = 3
• x = -3
• y = 2

When x² is changed to x² -3, the graph

• Shifts left 3 units.
• Shifts right 3 units
• shifts up 3 units.
• Shifts down 3 units.

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots or x-intercepts

Tags

CCSS.HSF-IF.C.7A

What is the green dot on the parabola called?

• maximum

• minumum

• roots

• zeros

A parabola is upside-down when a is:

• negative

• positive

• 0

• infinite

Tags

CCSS.HSF-IF.C.7A