Question

If you have access to a graphing calculator or free graphing web

resource, utilize it for this problem. If not, graph it by hand on a coordinate
plane. Start by graphing the function f(x) = x-4. Now graph a new
function, g(x) = 3x - 12. If f(x) was transformed into g(x) in a single step,
what type of transformation was it? What was the "k" value? What happened
to the slope and y-intercept you see in your graphs? Use 2 complete
sentences.

Answer 1

Answer: By plotting the functions f(x) = x-4 and g(x) = 3x - 12 on a coordinate plane, we can see that the transformation from f(x) to g(x) was a vertical stretch by a factor of three with no translation. This transformation has a "k" value of 3. We can see that the slope of g(x) is three times steeper than that of f(x), and that the y-intercept of g(x) is similarly three times lower than that of f(x), representing the vertical stretch by a factor of three.

Step-by-step explanation: