Question

Let g(x) be the indicated transformation of f(x) = I3xI + 4. Stretch the graph of f(x) = I3xI = 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).

Answer 1

Step-by-step explanation

Since we have the function f(x) = |3x| + 4, stretching this by a factor of 3, we need to multiply the function by 3 as shown follows:

f(x) =3*(|3x| + 4)

Multiplying terms:

f(x)_stretched =3|3x| + 12

Now, in order to reflect it over the x-axis, we need to multiply the stretched function by -1:

g(x) = -3|3x| - 12

In conclusion, the solution is the second option.