Question

A parabola opening up or down has vertex (0,-4) and passes through (-12,14). Write its equation in vertex form

Answer 1

The value of a will be 0.125. Then the value of a is positive then the parabola will be upward.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

A parabola opening up or down has vertex (0,-4) and passes through (-12,14).

The equation of the parabola is given as

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

(h, k) = (0, -4)

Then the equation of the parabola will be

y = a(x)² - 4

The parabola is passing through (-12, 14). Then the value of a will be

   14 = a(-12)² - 4

   14 = 144a - 4

144a = 18

     a = 1/8

     a = 0.125

Then the equation of the parabola will be

y = 0.125x² - 4

If the value of a is positive then the parabola will be upward.

More about the parabola link is given below.

brainly.com/question/8495504

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