Finding the Axis of Symmetry and Vertex of a Quadratic Function

This video tutorial explains how to find the axis of symmetry and vertex of a quadratic function using the quadratic formula. It covers the standard form of a quadratic equation, the components of the quadratic formula, and the process of determining the axis of symmetry and vertex. The tutorial also addresses common misunderstandings related to the order of operations when solving quadratic equations.

What is the standard form of a quadratic equation?

• F(x) = Ax^2 + Cx + B

• F(x) = Ax^2 + Bx + C

• F(x) = Ax + Bx^2 + C

• F(x) = Ax^2 - Bx + C

How does the axis of symmetry divide a figure?

• Into two identical parts

• Into two symmetrical parts

• Into two equal parts

• Into two opposite parts

What is the formula for the axis of symmetry in a quadratic function?

• X = -b / 2a

• X = b / a

• X = b / 2a

• X = -b / a

What is the vertex of the quadratic function F(x) = x^2 + 2x - 1?

• (-1, -2)

• (1, 2)

• (-2, -1)

• (2, 1)

What common mistake is made when solving quadratic equations?

• Ignoring the order of operations

• Using the wrong formula

• Forgetting to square the terms

• Misplacing the negative sign

In the order of operations, what should be done first?

• Multiplication

• Subtraction

• Exponents

• Addition

What is the correct Y value when solving the equation with X = -4?

• 25

• -25

• 7

• -16