Question

PLEASE HELP MEEEE I NEED HELP PLEASE NO ONE WILL HELP ME

A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below.



Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply.

From x = -2 to x = 0, the average rate of change for both functions is negative
For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function.
The quadratic function, y = x2 + 3, has an x-intercept at the origin
The quadratic function, y = x2, has an x-intercept at the origin
From x = -2 to x = 0, the average rate of change for both functions is positive
For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

Answer 1

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

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!