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Acc Math 1 Dec 7 th. Turn in homework – pp. 5-6 Continue your warm-ups on your sheet of paper f(x ) = 3x 2 + 6x + 2 Identify the … 1. vertex 2. a xis of symmetry 3. y-intercept 4. does it open up or down ?. Check assignment pp. 5-6. Up ; (0, 1); x = 0
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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