Graphing Quadratics in All Forms

Does the graph of
-2(x + 5) + 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.

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

• (2,-5)
• (-5,6)
• (2,6)
• (5,6)

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

• y = 4
• x = -4
• x = 4
• x = -5

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.

What is the green dot on the parabola called?

• maximum

• minumum

• roots

• zeros

Tags

CCSS.HSF-IF.C.7A

A parabola is upside-down when a is:

• negative

• positive

• 0

• infinite

Tags

CCSS.HSF-IF.C.7A

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)

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.C.7A