If the Y-intercept of a linear function increases while the slope remains unchanged
A)the graph must shift down in a parallel way.
B)the graph must rotate to the left about the X intercept.
C)the graph must shift up in a parallel.
D)the graph remains unchanged.

Question

Quizplus · Accepted Answer

If the y-intercept increases while the slope remains unchanged, this means that the point where the graph crosses the y-axis moves higher up. Since the slope remains the same, the graph remains the same "steepness" or angle. Therefore, the graph must shift up in a parallel manner. So, the correct choice is C, the graph must shift up in a parallel.

If the Y-Intercept of a Linear Function Increases While the Slope