Question

What is the formula of g in terms of f? A) f(-1over 2 x)B) -2f(x)C) f(-2x)D) -1 over 2 f (x)

Answer 1

The function g(x) is a mirror image of the function f(x), which means that f(x) was reflected over the y-axis. To do so, you have to invert the sign of the x-term of the function, symbolically:

`h(x)=f(-x)`

The curve of the function is less pronounced, which indicates that the function f(x) was compressed horizontally, to do so, you have to multiply the x-term of the function by a constant with a value less than 1.

For example 1/2, then:

`g(x)=f(-(1)/(2)x)`

The correct option is A