Question

Question 2 Multiple Choice Worth 1 points)

(02.05 MC)
Graph g(x), where f(x) = 4x - 2 and g(x) = f(x + 1).

Answer 1

To graph g(x), substitute x + 1 into f(x) = 4x - 2, which gives g(x) = 4x + 2. Plot the points by substituting x-values and connect them to get a straight line with a slope of 4 and a y-intercept of 2.

Step-by-step explanation:

To graph g(x), we need to substitute x + 1 into the function f(x) = 4x - 2. This gives us g(x) = 4(x + 1) - 2 = 4x + 4 - 2 = 4x + 2. Now, we can plot the points for g(x) using the equation g(x) = 4x + 2:

1. Choose several values for x, such as -2, -1, 0, 1, and 2.
2. Calculate the corresponding y-values by substituting the x-values into the equation g(x) = 4x + 2.
3. Plot the points (x, y) on the graph.
4. Connect the points with a straight line.

The resulting graph of g(x) = 4x + 2 will be a straight line with a slope of 4 and a y-intercept of 2.