Write a formula for the function g that results when the graph of a given toolkit function is transformed as described.

Question

Write a formula for the function g that results when the graph of a given toolkit function is transformed as described.The graph of f(x) = x. is reflected over the x-axis, vertically compressed by a factor of 6, then vertically shifted 7 units up.

Answer 1

Hi,

f(x) = x. is reflected over the x-axis ====> g(x) = - x

vertically compressed by a factor of 6====> g(x) = 6  x

vertically shifted 7 units up ====> g(x) =  x + 7

BUT, it is not clear you need to make ONLY one function through all features or three function

If you need one function it will be g(x) = - 6 x + 7

I hope it is useful,

Minoo