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.