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Acc Math 1 Dec. 6 th. WARM-UP No new warm-up sheet. Just do these on a piece of notebook paper. Look at your notes from yesterday: What is the standard form of quadratic equations? What formula do you use to find the x coordinate for the vertex of the parabola?.
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Acc Math 1 Dec. 6th • WARM-UP • No new warm-up sheet. Just do these on a piece of notebook paper. • Look at your notes from yesterday: • What is the standard form of quadratic equations? • What formula do you use to find the x coordinate for the vertex of the parabola?
Characteristics of Quadratics f(x) = x2 Standard Form: f(x) = ax2 + bx + c Transformations: f(x) = a(x – h)2 + k (vertex form) a – h – k –
Example Example f(x) = 2x2 – 4x – 6 f(x) = 3x2 – 6x + 1 Vertex: Axis of sym: 2 other points:
GRAPHING FROM VERTEX FORM Example 1: Graph y = ½(x + 1)2 – 2 • IDENTIFY the constants. a = _____, h = _____, k = ____ • Because a ____ 0, the parabola opens ________. • Plot the vertex (h, k) = (____, ____) and draw the axis of symmetry at x = ____ • Plot the points (___, ___) and (___, ___) and their reflections
Example Example f(x) = 2(x + 5)2 – 4 f(x) = - ½ (x – 3)2 + 1 Vertex: Axis of sym: 2 other points:
ASSIGNMENT • Pages 5-6 PROBLEMS -19