Pre-Calculus 1 Today’s Agenda Today’s Objectives: Today’s Vocabulary: Take our HW #7 – Handout on Vertex Get into Dress Code Start Do Now 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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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:

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 

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

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: -1 x2: 3

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)

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