Part 3: Use the information provided to write the vertex formula of each parabola. Please show the work

1. Vertex: (-4, -3), Directrix: y = -25/8

2. Vertex: (-8, -7), Directrix: y= -25/4

3. Focus: (7, 1/2), Directrix: y = 3/2

1. y = 2(x + 4)² - 3

Step-by-step explanation:

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

1)

Now input a = 2  and  (h, k) = (-4, -3) into the equation y = a(x - h)² + k

y = 2(x + 4)² - 3

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2)

Now input a = -1/3  and  (h, k) = (-8, -7) into the equation y = a(x - h)² + k

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3)

The midpoint of the focus and directrix is the y-coordinate of the vertex:

The x-coordinate of the vertex is given in the focus as 7

(h, k) = (7, 1)

Now let's find the a-value:

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

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step-by-step explanation: