# SOLUTION: Find the vertex and axis of the parabola y-4=-2(x+3)^2

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Find the vertex and axis of the parabola y-4=-2(x+3)^2      Log On

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 Click here to see ALL problems on Quadratic Equations Question 477477: Find the vertex and axis of the parabola y-4=-2(x+3)^2Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi, Find the vertex and axis of the parabola y-4=-2(x+3)^2 *Using the vertex form of a parabola, where(h,k) is the vertex y-4=-2(x+3)^2 Green y = -2(x+3)^2 + 4 |vertex (-3,4), line of symmetry is x = -3 a = -2 < 0, Parabola opens downward, Vertex is a maximum point parabola having vertex (-2,1) and containing the point (-3,4). * y = a(x+2)^2 + 1, 4 = a(-3+2)^2 + 1, a = 3, y = 3(x+2)^2 + 1 Blue * f(x) = 2x^2 + 12x+7, f(x) = 2(x+3)^2 -11 Purple V(-3,-11) x = -3 * f(x) = 2x^2 + 6x + 5, f(x) = 2(x+3/2)^2 + 1/2, a = 2>0, V(-3/2,)min Yellow 9. Find a quadratic equation with integral coefficients (integers) having roots: , (x-5/2)(x+5/2) = 0, x^2 - 25/4 = 0, y = x^2 - 25/4 A rectangular corral is made with a total of 100 feet of fencing on three sides. The fourth side is the side of a barn. The greatest possible area for the enclosure would be square: 3s = 100, s = 33 1/3ft ```