The equation of a parabola can be found using the formula (x-h)² = 4p(y-k) for a vertical parabola, where (h,k) is the vertex and p is the distance from the vertex to the focus.

Given the vertex V(1,1) and the focus F(1,5), we can see that the parabola is vertical because the x-coordinates of the vertex and the focus are the same. The distance p from the vertex to the focus is 5-1 = 4.

Substituting these values into the formula, we get:

(x-1)² = 4*4(y-1)

Simplifying, we get:

(x-1)² = 16(y-1)

So, the correct answer is (x - 1)² = 16(y - 1).

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The equation of a parabola can be found using the formula (x-h)² = 4p(y-k) for a vertical parabola, where (h,k) is the vertex and p is the distance from the vertex to the focus.

Given the vertex V(1,1) and the focus F(1,5), we can see that the parabola is vertical because the x-coordinates of the vertex and the focus are the same. The distance p from the vertex to the focus is 5-1 = 4.

Substituting these values into the formula, we get:

(x-1)² = 4*4(y-1)

Simplifying, we get:

(x-1)² = 16(y-1)

So, the correct answer is (x - 1)² = 16(y - 1).

Knowee AI · Accepted Answer

The equation of a parabola can be found using the formula (x-h)² = 4p(y-k) for a vertical parabola, where (h,k) is the vertex and p is the distance from the vertex to the focus.

Given the vertex V(1,1) and the focus F(1,5), we can see that the parabola is vertical because the x-coordinates of the vertex and the focus are the same. The distance p from the vertex to the focus is 5-1 = 4.

Substituting these values into the formula, we get:

(x-1)² = 4*4(y-1)

Simplifying, we get:

(x-1)² = 16(y-1)

So, the correct answer is (x - 1)² = 16(y - 1).

Write an equation of a parabola with the given focus F and vertex V:F(1 , 5) and V(1 , 1)Question 10Select one:(x - 1)2 = 16(y - 1)(x - 1)2 = 4(y - 1)(x + 1)2 = 16(y + 1)(x - 1) = -16(y -1)2

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