Write an equation for a graph that takes h(x)= 1/x and is flipped on its y-axis, horizontally shrunk by a factor of 4, vertically stretched by a factor of 3, shifted left 2 and down 9

Answer 1

h(x) = 1/x

Reflect over y-axis means y = 1/-x

Horizontally shrunk by a factor of 4 means y = 1/(-4x)

Vertically stretched by a factor of 3 means y = 3/(-4x)

Shifted left 2 means y = 3/(-4(x+3))

Shifted down 9 means y = 3/(-4(x+3)) - 9