The parent function f (x) = x2 is reflected across the x-axis, vertically stretched by a factor of 4 and translated right 3 units to create g (x)

Question

Use the description to write the quadratic function in vertex form.

Answer 1

x^2 reflected across the x axis is -x^2

stretch vertically by factor of 4 gives -4x^2

shift right 4 units and

g(x) = -4(x-4)^2

vertex is (4,0) = maximum point

general vertex form is a(x-h)^2 + k where (h,k) = vertex