Conic Parabolas and Converting to Vertex Form

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry 

• Vertex Form

Does the graph of the function

y = -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

If given the equation

y = 3(x + 5)² - 4,

when is the graph increasing?

• x < -5

• x > -5

• x < -4

• x > -4

Tags

CCSS.HSF-IF.C.7A

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.C.7A

Write the equation of a parabola that has shifted 4 units to the right, 5 units down, and has flipped over the x-axis.

• y = - (x - 5)² + 4

• y = - (x - 4)² - 5

• y = - (x + 4)² - 5

• y = - (x + 5)² + 4

How many x-intercepts can a parabola have? (Select all that apply)

• 0

• 1

• 2

• 3

Tags

CCSS.HSF-IF.C.7A

If a parabola has a vertex at (-3, 7) and opens downward, how many x-intercepts will it have?

• 0

• 1

• 2

• no way to tell

Tags

CCSS.HSF-IF.C.7A

If a parabola has a vertex at (5, 0) and opens upward, how many x-intercepts will it have?

• 0

• 1

• 2

• no way to tell

Tags

CCSS.HSF-IF.C.7A

Which statement is true about the vertex form equation: y = 2(x+2)² - 5

• The range is y < -5

• Vertex is (2, -5)

• The graph opens upward

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)