Question

What transformations change the graph of f(x) to the graph of g(x)? f(x) = 3x2 g(x) = 9x2 - 4

Answer 1

For any function f(x) =y = f(x) + C    ,c<0 the graph shifts down by c units.

For the function y = Cf(x) If C > 1 stretches it in the y-direction .We can stretch or compress it in the x-direction by multiplying x by a constant.

The given function f(x)=$3x^{2}.$is stretched in y direction by 3 units and shifted down by 4 units to have the graph  g(x)=$9x^{2}. -4.$

Answer 2

Multiply the whole equation by 3 then subtract 4 from te whole equation
vertically stretched by a factor of 3 and moved down 4 units is the translation