Final answer:
To reflect the function f(x) = 1/4(8)x across the y-axis, change the sign of the x-coefficient. To reflect it across the x-axis, change the sign of the y-intercept. The graph of the reflected function will be the same as the original function but flipped horizontally.
Step-by-step explanation:
To reflect the function f(x) = 1/4(8)x across the y-axis, we change the sign of the x-coefficient. So, the new function is f(x) = -1/4(8)x.
Next, to reflect the function across the x-axis, we change the sign of the y-intercept. The y-intercept of the original function is 0, so the new function will have a y-intercept of 0 as well.
Therefore, the graph of the reflected function will be the same as the original function, y = 1/4(8)x, but flipped horizontally.