Write the new equation if the parent function f(x)=x^2 were reflected across the x-axis, vertically compressed by a factor of 2/3, shifted left 4 units and shifted up 3 units

Answer 1

y = x^2 reflected across the x axis changes y to -y or

f(x) = -x^2

vertically compress by 2/3 gives

f(x) = -(2/3)x^2

shift left 4, up 3

f(x) = -(2/3)(x+4)^2 + 3