Use transformations to graph the given function.f (x) = |4x|Select one:a.b.c.d.Clear my choice

To graph the function f(x) = |4x|, follow these steps:

1. Start by understanding the basic shape of the absolute value function, which is f(x) = |x|. This is a V-shaped graph that intersects the origin (0,0) and opens upwards.

2. The function f(x) = |4x| is a transformation of the basic absolute value function. The "4" inside the absolute value function is a horizontal compression by a factor of 1/4. This means the graph of f(x) = |4x| will be narrower than the graph of f(x) = |x|.

3. To graph f(x) = |4x|, start by plotting the vertex at the origin (0,0).

4. Then, choose some x-values to the left and right of the origin and calculate the corresponding y-values. For example, if x = 1, then y = |4(1)| = 4. If x = -1, then y = |4(-1)| = 4.

5. Plot these points on the graph and draw a V-shape that passes through them. The graph should be narrower than the graph of f(x) = |x| due to the horizontal compression.

6. The final graph of f(x) = |4x| should be a V-shape that intersects the origin and opens upwards, and is narrower than the graph of the basic absolute value function.