Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8.

y = one divided by thirty twox2
y2 = 8x
y2 = 32x
y = one divided by eightx2

The standard form of the equation of the parabola will be .

Step-by-step explanation:

To find he equation of the parabola with a focus at (0, 8) and

a directrix at y = -8, we may use the distance formula.

Solving

          ∵

   ∵

Similarly

So, the equation A becomes

Therefor, the standard form of the equation of the parabola will be .

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.