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Quadratics Quiz 1: Graphing Quadratics 1. Factored Form y= -3(x+2) (x-1) a. Find the Coefficient (1 point) Ans: -3 b. Find the roots (1 point each) Ans: (-2,0) (1,0) c. Find the y-intercept (2 points) Ans: (0, 6) d. Find the vertex (2 points) Ans: (-1/2, 27/4) e. Graph points (3 points) 2. Vertex Form y= (-1/3) (x-2) 2 +12 a. Find the vertex (2 points) Ans: (2, 12) b. Find the coefficient (1 point) Ans: (-1/3) c. Find where y=0 (2 points) Ans: (8,0) (-4,0) d. Find the roots (1 point each) Ans: (0, -1/3) e. Graph points (3 points) 3. Plotting points y= x 2 +4x-1 a. Make a data table of prospective points: (1 point each) Ans: X values Y values -2 -5 -1 -4 0 -1 1 4

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2 11 b. Find roots: (1 point each) Ans: (-4 +/- 2 5)/2 c. Graph points (3 points) Solutions to Quiz 1: Graphing Quadratics
1. Factored Form y= -3(x+2) (x-1) a. Find the Coefficient -From factored form a(x-r)(x-s) we know that a equals the coefficient -Find a by looking at the equation -3 b. Find the roots -From factored form a(x-r)(x-s) we know that r and s equal the roots -Find r and s by looking at the equation (-2, 0) (1,0) c. Find the y-intercept Plug in 0 for x -> (0,6) d. Find the vertex

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