Quadratics - Vertex Form and Standard Form

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

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.

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)

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

What is the axis of symmetry? f(x) = x² - 8x + 15.

Use the formula -b/2a

• x = -4
• x = 4
• y = 4
• y = -4

f(x) = x + -2 + x². what is f(-10)?

• -100

• 88

• -8

• -112

Tags

CCSS.HSF.IF.A.2