Let (h, k) be the coordinates of the vertex of a parabola.
Chapter 8, Problem 8.4.22(choose chapter or problem)
Let (h, k) be the coordinates of the vertex of a parabola. Since the parabola is symmetric about the vertical axis, then h is equal to the average of the two real zeros of the function (if they exist). For parts (a) and (b) use this to find h, and then construct an equation in vertex form, y a(x h)2 k. a. A parabola with x-intercepts of 4 and 8, and a y-intercept of 32 b. A parabola with x-intercepts of 23 and 1, and a y-intercept of 21 c. Can you find the equation of a parabola knowing only its x-intercepts? Explain.
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