what kind of transformation converts the graph of f(x)=-2x^2+1 into the graph of g(x)=-8x^2+1

Answer 1

A dilation of 4 vertically stretches the graph of f(x) to make g(x)... -2 x 4 = -8

Answer 2

f(x) = -2x² + 1

g(x) = -8x² + 1

The parabola is stretched down by the factor of 4 since you multiply 4 by -2 to get -8.