03/17 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.

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

• (2,-5)

• (-5,6)

• (2,6)

• (5,6)

Given: 1/2(x + 4)² - 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

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

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.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

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