Graphing Quadratics Given Graph Standard 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

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.

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

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

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