Graphing Quadratics from Factored Form

The video tutorial explains how to work with the factored form of quadratic relations. It covers finding zeros by setting each factor to zero, determining the axis of symmetry using the midpoint formula, and calculating the optimal value by substituting the axis of symmetry into the equation. The tutorial also includes graphing the quadratic equation and solving practice problems to reinforce the concepts.

What is the factored form of a quadratic relation?

• A form where terms are divided by each other

• A form where terms are added together

• A form where terms are subtracted from each other

• A form where terms are multiplied by each other

How do you find the zeros of the quadratic relation y = 0.5(X + 3)(X - 9)?

• Set Y to 0

• Set Y to 1

• Set X to 0

• Set X to 1

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What are the zeros of the quadratic relation y = 0.5(X + 3)(X - 9)?

• X = 3 and X = -9

• X = 1 and X = -1

• X = -3 and X = 9

• X = 0.5 and X = -0.5

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Where is the axis of symmetry located for the quadratic relation y = 0.5(X + 3)(X - 9)?

• X = 9

• X = -3

• X = 3

• X = 0

How do you find the optimal value of a quadratic relation?

• By finding the midpoint of the zeros

• By setting X to 0

• By substituting the axis of symmetry into the equation

• By setting Y to 0

What is the direction of opening for a quadratic relation with a positive 'a' value?

• Downwards

• Leftwards

• Upwards

• Rightwards

Tags

CCSS.HSF-IF.C.7A

What is the first step in graphing a quadratic relation in factored form?

• Finding the optimal value

• Finding the zeros

• Drawing the graph

• Finding the axis of symmetry

Tags

CCSS.HSF-IF.C.7A

For the quadratic relation y = (X - 2)(X + 4), what are the zeros?

• X = 2 and X = -4

• X = 0 and X = 2

• X = -2 and X = 4

• X = 1 and X = -1

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the axis of symmetry for the quadratic relation y = (X - 2)(X + 4)?

• X = 0

• X = -1

• X = 2

• X = 1

For the quadratic relation y = (X + 1)(X + 4), what is the axis of symmetry?

• X = 1.5

• X = -1.5

• X = 2.5

• X = -2.5

Tags

CCSS.HSF-IF.C.7A