Question

What transformations to the linear parent function, f(x) = x, give the functiong(x) = 3x - 1? Select all that apply.A. Horizontally stretch by a factor of 3.B. Shift left 1 unit.nC. Vertically stretch by a factor of 3.UD. Shift down 1 unit.SUBMIT

Answer 1

We are given a parent function f(x)= x and asked the transformation process that takes it to g(x)=3x-1

PART 1

If g(x) = 3f (x): For any given input, the output g(x) is three times the output of f(x), so the graph is stretched vertically by a factor of 3. If g(x) = f (3x): For any given output, the input of g is one-third the input of f(x), so the graph is shrunk horizontally by a factor of 3.

In this case, we can state that the function was first stretched by 3.

PART 2

To move a function up, you add outside the function: f (x) + b is f (x) moved up b units. Moving the function down works the same way; f (x) – b is f (x) moved down b units.

We can also say that the function was shifted downwards by 1

ANSWER: OPTION C AND D