Part 1: Use the information provided to write the vertex form equation of each parabola.

1. Vertex: (9, 10)
Focus: (9, 19/2)

2. Vertex: (4,1)
Focus: (17/4, 1)

3. Vertex: (7,2)
Focus: (15/2, 2)

                2.   x = (y - 1)² + 4

Step-by-step explanation:

Notes: The vertex form of a parabola is y = a(x - h)² + k  or   x = a(y - k)² + h

1)

Now input a = -1/2 and (h, k) = (9, 10) into the equation y = a(x - h)² + k

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2)

Now input a = 1 and (h, k) = (4, 1) into the equation x = a(y - k)² + h

x = 1(y - 1)² + 4     →    x = (y - 1)² + 4

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3)

Now input a = 1/2 and (h, k) = (7, 2) into the equation x = a(y - k)² + h

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b. 153 students do not participate in sports and seventy-five 12th graders were surveyed