Rational, Irrational, Radical, Characteristic of Quadratic, and Axis of Symmetry and Vertex

Simplify the following radical: √150

• 5√15

• 5√2

• 5√6

• 15√5

Simplify the following radical: √24

• 2√6

• 4√6

• 2√12

• 3√8

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

• rational

• irrational

A parabola has a vertex at (-3, 2). Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

A parabola has a vertex at (-3,2). Which is equation for the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

What is the vertex and axis of symmetry of y = (x-4)² + 3.

• Vertex: (3,4) AOS: x = 4

• Vertex: (-4,3) AOS: x = -4

• Vertex: (-4,3) AOS: x = 3

• Vertex: (4,3) AOS: x = 4

What is the vertex and axis of symmetry of y= -2(x+3)² + 2.

• Vertex: (-3,2) AOS: y = 3

• Vertex: (2,-3) AOS: x = 2

• Vertex: (-3,2) AOS: x = -3

• Vertex: (3,2) AOS: x = 2

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2