Question

How does the function y = -2x + 6 differ from the linear parent function?

Answer 1

The function y = -2x + 6 differs from the linear parent function in terms of slope, y-intercept, and direction.

Step-by-step explanation:

The function y = -2x + 6 differs from the linear parent function in several ways:

1. Slope: The linear parent function has a slope of 1, whereas the function y = -2x + 6 has a slope of -2. This means that for every unit increase in x, the linear parent function would increase by 1 unit, while the function y = -2x + 6 would decrease by 2 units.
2. Y-intercept: The linear parent function has a y-intercept of 0, whereas the function y = -2x + 6 has a y-intercept of 6. This means that the graph of the function y = -2x + 6 would intersect the y-axis at the point (0, 6).
3. Direction: The linear parent function has a positive slope, which means it increases as x increases. On the other hand, the function y = -2x + 6 has a negative slope, which means it decreases as x increases.