Part 4: Use the information provided to write the vertex formula of each parabola.

1. Focus: (-31/4, 2), Directrix: x = -33/4

2. Focus: (1/2, 10), Directrix: x = 3/2

3. Focus: (-9, 57/8), Directrix: y= 55/8

 1. x = (y - 2)² + 8

               3. y = 2(x +9)² + 7

Step-by-step explanation:

Notes: Vertex form is: y =a(x - h)² + k    or      x =a(y - k)² + h

1)

Now let's find the a-value:

Now, plug in a = 1   and    (h, k) = (-8, 2) into the equation x =a(y - k)² + h

x = (y - 2)² + 8

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2)

Now let's find the a-value:

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

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3)

Now let's find the a-value:

Now, plug in a = 2   and    (h, k) = (-9, 7) into the equation y =a(x - h)² + k

y = 2(x +9)² + 7

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step-by-step explanation: