The equation y^2+8y−x+18=0 represents a parabola. Drag and drop the expressions into the boxes in the equation to rewrite the equation of this parabola in standard form.

x= ( )^2 + ___

The equation of parabola is standard form is

Step-by-step explanation:

Given equation of parabola is,

In order to find the equation of parabola in standard form, eliminate x from left side of equation and use completing square method to find the equation.

First step is to add x on both side of equation.

Rewriting,

Now applying completing square method as follows.

Following are the steps for calculation of this method.

Find the last term of above equation by using below formula,

Now coefficient of y is 8.

Simplifying,

Second step is to add and subtract the last term.

Rewriting,

Since

Using above formula,

Therefore, the equation of parabola in standard form is

ιт ιѕ 12 αв

нσρє ι ¢συℓ∂ нєℓρ уα

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.