Solving Quadratic Problems: Factored Form and Finding Zeros and Symmetry

This video tutorial teaches how to solve quadratic problems by finding zeros and lines of symmetry using the factored form of quadratic functions. It covers the three forms of quadratic functions: standard, vertex, and factored. The tutorial explains how to find zeros through solving and graphing, and how to determine the axis of symmetry. It also demonstrates converting from standard to factored form and using the factored form to find zeros and symmetry.

What are the three forms of quadratic functions?

• Logarithmic, Trigonometric, and Hyperbolic

• Polynomial, Rational, and Exponential

• Linear, Quadratic, and Cubic

• Standard, Vertex, and Factored

How can you find the zeros of the function X - 3 * X + 5?

• By setting it equal to 0 and solving

• By setting it equal to 1

• By setting it equal to 2

• By setting it equal to -1

What is the axis of symmetry for a quadratic function?

• A horizontal line that divides the parabola in half

• A vertical line that divides the parabola in half

• A diagonal line that divides the parabola in half

• A circular line that divides the parabola in half

How do you calculate the axis of symmetry using the equation X = -b / 2a?

• By multiplying b and a

• By dividing -b by 2a

• By subtracting b from a

• By adding b and a

What is the first step in converting from standard to factored form?

• Identify the zeros

• Calculate the axis of symmetry

• Find the vertex

• Say 'hippo butt'

Which pair of factors adds up to the middle term in the expression X^2 + 5X + 4?

• 3 and 2

• 1 and 4

• 4 and 1

• 2 and 3

What is the mean of the zeros -1 and -4?

• -2.5

• -4

• -3

• -1.5