Find the vertex of the graphs of the following quadratic equations.A. y 5 2(x 2 5)2 1 3.5B. y 5 2(x 1 1) 2 2 8
Question
Find the vertex of the graphs of the following quadratic equations.A. y 5 2(x 2 5)2 1 3.5B. y 5 2(x 1 1) 2 2 8
Solution
A. The vertex of the graph of the quadratic equation y = 2(x - 5)^2 + 3.5 is (5, 3.5). This is because the vertex form of a quadratic equation is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
B. The vertex of the graph of the quadratic equation y = 2(x + 1)^2 - 8 is (-1, -8). This is because the vertex form of a quadratic equation is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
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