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Learn to identify key features of quadratic functions such as vertex, axis of symmetry, and intercepts. Practice graphing from vertex form and familiarize with standard and intercept forms. Ace the pop quiz on graphing quadratic functions!
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Acc Math 1 Dec 7th • Turn in homework – pp. 5-6 • Continue your warm-ups on your sheet of paper • f(x) = 3x2+ 6x + 2 • Identify the … • 1. vertex • 2. axis of symmetry • 3. y-intercept • 4. does it open up or down?
Check assignment pp. 5-6 • Up; (0, 1); x = 0 • Down; (0, -4); x = 0 • Up; (1, -1); x = 1 • Up; (-1, 0); x = -1 • Up; (1, 1); x = 1 • Down; (5/4, 1/8); x = 5/4 • C • A • B Graphs should be sketched with vertex and a/s labeled • Vertex – (0, 2) • Vertex – (-2, 4) • Vertex – (-1/2, 2 ½) • Vertex – (-1, -3) • Vertex – (3/2, -8 ¾) • Vertex – (2, 19)
Graphing Quad. Functions VOCABULARY • Standard form – f(x) = ax2 + bx + c • Vertex form – f(x) = a(x – h)2 + k * Vertex is (h, k) • Intercept form – f(x) = x(x – p)(x – q) *x-intercepts are (p & q)
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 9 - ALL
