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Unit 7 Quadratics Graphing Quadratic Functions

Unit 7 Quadratics Graphing Quadratic Functions. Goal: I can graph quadratic functions and show intercepts, maxima and minima. (F-IF.7a). Vertex Formula -. Graphing a Quadratic Function. in standard/function form y = ax²+bx+c. Step 1 Write Step 2 Find Step 3 Make Step 4 Plot.

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Unit 7 Quadratics Graphing Quadratic Functions

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  1. Unit 7 QuadraticsGraphing Quadratic Functions Goal: I can graph quadratic functions and show intercepts, maxima and minima. (F-IF.7a)

  2. Vertex Formula -

  3. Graphing a Quadratic Function in standard/function form y = ax²+bx+c • Step 1 Write • Step 2 Find • Step 3 Make • Step 4 Plot the x-coordinate of the vertex, which is a table of values, using x-values to the left and right of the vertex the points and connect them with a smooth curve to form a parabola

  4. EXAMPLE 1 Fill in the table of values to graph the quadratic 1. Standard Form: 2. Find the x and y-coordinate of the vertex: y -coordinate y = (3)2– 6(3) + 5 y = 9 – 6(3) + 5 y = 9– 18+ 5 y = – 4 vertex: (3, -4)

  5. EXAMPLE 1 Fill in the table of values to graph the quadratic. 2. Make a table of values: 1 0 y = (1)2– 6(1) + 5 -3 2 y = (2)2– 6(2) + 5 3 -4 y = (4)2– 6(4) + 5 -3 4 0 5 y = (5)2 – 6(5) + 5

  6. EXAMPLE 1 Graph Quadratic Function 1 0 -3 2 3 -4 -3 4 0 5

  7. EXAMPLE 2 Fill in the table of values to graph the quadratic 1. Find the x-coordinate of the vertex: y -coordinate y =-2 (0)2+ 6 y =-2 (0) + 6 y =(0) + 6 y = 6 vertex: (0, 6)

  8. EXAMPLE 2 Fill in the table of values to graph the quadratic. 2. Make a table of values: -2 -2 y = -2(-2)2+ 6 4 -1 y = -2(-1)2+ 6 0 6 y = -2(1)2+ 6 4 1 y = -2(2)2+ 6 -2 2

  9. EXAMPLE 2 Graph Quadratic Function -2 -2 4 -1 0 6 4 1 -2 2

  10. You try… Find the x-coordinate of the vertex:

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