Question

Which best describes the effect of the graph of f(x) = 4x + 8 if the y-intercept is changed to -3?

A. The graph shifts upward.
B. The graph shifts downward.
C. The slope of the graph increases.
D. The slope of the graph decreases.

Answer 1

Changing the y-intercept to -3 in the equation f(x) = 4x + 8 will shift the graph downward.

Step-by-step explanation:

The effect of changing the y-intercept of the graph of f(x) = 4x + 8 to -3 is that the graph will shift downward.

The original y-intercept is 8, which means the graph passes through the point (0, 8). When the y-intercept changes to -3, the graph will pass through the point (0, -3).

Since the slope remains the same at 4, the graph will have the same steepness, but it will be shifted downwards on the y-axis.