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Today’s Objectives: Today’s Agenda SWBAT… Determine a quadratic function’s key features, including its vertex, from factored form Sketch the graph of a.

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Presentation on theme: "Today’s Objectives: Today’s Agenda SWBAT… Determine a quadratic function’s key features, including its vertex, from factored form Sketch the graph of a."— Presentation transcript:

1 Today’s Objectives: Today’s Agenda 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 Today’s Vocabulary: Vertex Midpoint Line of Symmetry

2 I am available for extra help on Tuesdays in Room is now being updated. CHECK IT OUT!

3 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 : SWBAT… Determine a quadratic function’s key features, including its vertex, from factored form Sketch the graph of a quadratic function

4 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

5 The midpoint has the same x-value as the VERTEX. Solve for x, then you can find y. SWBAT… Determine a quadratic function’s key features, including its vertex, from factored form Sketch the graph of a quadratic function x 1, y 1 x 2, y 2 Midpoint

6 x 1 : -1 x 2 : 3 SWBAT… Determine a quadratic function’s key features, including its vertex, from factored form Sketch the graph of a quadratic function Midpoint

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

8 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


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