Answer quick 25 actual points! find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7). (answer choices are in picture)

The vertex of the parabola is at (0,0), and the focus is at (0,-7). 

The focus is given by the following values:



h and k represent the x and y values of the vertex. We want to solve for p.

Set the y value for the focus equal to -7:



We know that k = 0, so we can simplify to get p by itself:



Standard form of a vertical parabola is given by the following formula:



Plug in all of your known values into the formula:






The answer is "y^2 = -28x".

Formula for parabola with focus at (0,p) and vertex at origin

Since focus is at (0,-7), p = -7 and

61/100, because if it is 0.(value) than it is value / 100 assuming value is 2 digits long. we cannot simplify it further because 61 is prime number.