Jill draws a rainbow that spans a wall 16 ft wide. The top of her rainbow arc is 6 feet from the ground. So, y = - 3/32(x-8)^2+6. Use the vertex equation to find at what two points along the wall the arc is at y = 5.01 ft high

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Q: graph the parabola y=(x-5)2-2

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A: y= 3x2-4x-2

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.