Answer:
a. From x = -2 to x = 0, the average rate of change for both functions is negative
d. The quadratic function, y = x², has an x-intercept at the origin
Step-by-step explanation:
From x = -2 to x = 0, the rate of change is negative because both functions are going in a downward slope. The quadratic function y = x² touches the x-axis right at (0, 0), meaning it has an x-intercept at the origin.
The second answer is incorrect because y = x² does not intersect the other parabola at (2, 3). The third is incorrect because y = x² + 3 does not even touch the x-axis. The fifth is incorrect because the rate of change is negative, not positive. Finally, the sixth is incorrect because y = x² + 3 does not intersect the other parabola at (2, 7). Hope this helps! Feel free to ask any questions!
