1. Pre-Calculus 1 Today’s Agenda Today’s Objectives: Today’s Vocabulary:
Take our HW #7 – Handout on Vertex
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SWBAT…
Determine a quadratic function’s key features, including its vertex, from factored form
Sketch the graph of a quadratic function
Notes:
Finding the Vertex & Graphing Quadratics
Summary
Today’s Vocabulary:
Vertex
Midpoint
Line of Symmetry
Homework #8:
Handout – Finding Vertex from Factored Form

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3. What do we know about the VERTEX of a quadratic function??
SWBAT…
Determine a quadratic function’s key features, including its vertex, from factored form
Sketch the graph of a quadratic function
What do we know about the VERTEX of a quadratic function??
From Standard form, we can find the x-value using the equation for the line of symmetry:

4. we can find the midpoint between the given roots.
SWBAT…
Determine a quadratic function’s key features, including its vertex, from factored form
Sketch the graph of a quadratic function
If we are given the Factored form of an equation, we can either transform it into Standard form and find the line of symmetry or
we can find the midpoint between the given roots.
Because the VERTEX is the point that divides a parabola into two equal parts, it lies half way between the roots
Midpoint Formula 

5. SWBAT…
Determine a quadratic function’s key features, including its vertex, from factored form
Sketch the graph of a quadratic function
Midpoint
The midpoint has the same x-value as the VERTEX. Solve for x, then you can find y.
Midpoint
x1, y1
x2, y2

6. Midpoint And Vertex Try an example x1: -1 x2: 3 Midpoint SWBAT…
Determine a quadratic function’s key features, including its vertex, from factored form
Sketch the graph of a quadratic function
Try an example
Midpoint
x1: x2: 3

7. Midpoint And Vertex Try an example
SWBAT…
Determine a quadratic function’s key features, including its vertex, from factored form
Sketch the graph of a quadratic function
Try an example
If the vertex’s x value is 1, we can find the y value using the equation.
Vertex
(1, -4)

8. Did we achieve our objectives?
Today’s Objectives:
SWBAT…
Determine a quadratic function’s key features, including its vertex, from factored form
Sketch the graph of a quadratic function
Homework #8:
Handout - Finding Vertex from Factored Form