Solving Quadratic Problems with Factored Form (a > 1)

This video tutorial teaches how to solve quadratic problems when the coefficient 'a' is greater than one. It covers finding zeros and lines of symmetry using the factored form of quadratic functions. The lesson reviews different forms of quadratic functions and demonstrates solving by graphing, calculating the axis of symmetry, and factoring by grouping. The tutorial provides step-by-step instructions for each method, emphasizing the importance of understanding the relationships between the zeros, axis of symmetry, and vertex of a parabola.

Which form of quadratic functions is used to find zeros and lines of symmetry when 'a' is greater than one?

• Standard form

• Vertex form

• Complete the square form

• Factored form

What is the first step in finding zeros of a quadratic function by graphing?

• Complete the square

• Calculate the axis of symmetry

• Find the vertex

• Set the function equal to zero

How do you determine the axis of symmetry for a quadratic function?

• By factoring the function

• Using the formula X = -b/2a

• By setting the function to zero

• By finding the vertex

What is the formula used to find the axis of symmetry in a quadratic function?

• X = -a/2b

• X = a/2b

• X = -b/2a

• X = b/2a

When factoring by grouping, what is the first step after rewriting the quadratic expression?

• Set the function to zero

• Calculate the axis of symmetry

• Group the terms

• Find the zeros

Which pair of numbers adds up to the B term in the example given for factoring by grouping?

• 2 and 4

• 1 and 8

• 3 and 6

• 5 and 5

What is the final step in finding zeros after factoring a quadratic function?

• Calculate the axis of symmetry

• Find the vertex

• Rewrite as coordinate pairs

• Set each factor equal to zero