Question

timmy writes the equation f(x) = x – 1. He then doubles both of the terms on the right side to create the equation g(x) = x – 2. How does the graph of g(x) compare to the graph of f(x)?

Answer 1

First, g(x) = 2x - 2, because when you double both of the terms of x - 1, you have to multiply each of the terms by two, i.e x * 2 = 2x and (-1) * 2 = - 2, so the result is 2x - 2. Comparing the graphs, you have that g(x) 's slope is 2, whils f(x) 's slope is 1, so that means that g(x) is more inclined or, what is the same, grows faster than f(x). Also, you can compare the y-intercepts, given that the y-intercept is the constant terms. So, the y-intercept of g(x) is -2, while the y-intercept of f(x) is - 1.