The parabola y=x^2y=x 2 y, equals, x, start superscript, 2, end superscript is scaled vertically by a factor of 777.

We are given equation of parabola: y = x^2.

We know, the vertex form of the parabola is given by function

y = a (x-h) ^2 + k.

Where coefficent a is the called the vertical scale factor of parabola.

We need to find the equation of parabola that is scaled by a factor 7 vertically of the given parent fuction of the parabola.

Therefore, for the given problem we have the value vertical scale factor a = 7.

So, we need to put 7 in front of x^2 in the given function.

Therefore, y = 7 x^2 is scaled vertically by a factor of 7 of the y = x^2 parabola.