Question

A quadratic function models the graph of a parabola. The quadratic functions, y=x2 and y=x2-2, 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= x^2 and y =x^2-2. Select all that apply.

1.The quadratic function, y = xv, has a y-intercept at the origin.

2.The quadratic function,y =x^2, has an y-intercept at (0,0).

3.From x=0 to x=2, the average rate of change for both functions is positive.

4.From x=0 to x=2, the average rate of change for both functions is negative.

5.For the quadratic function, y=x^2, the coordinate (2,4) is a solution to the equation of the function.

6.For the quadratic function, y=x^2-2,the coordinate (2,0) is a solution to the equation of the function.


55 points answer ASAP

Answer 1

1, 2, 3 and 5 are all true statements.

For numbers 1 and 2, anything equation with no constant added on the end has an point at the origin. That's because if all we have is things being multiplied and one of them is 0, then the result is also 0.

For number 3, you can see in the picture that after the y axis (x = 0), the graphs both have an upward trend. This means that they are increasing.

For number 5, we simply plug in to check the point.

y = x^2

4 = 2^2

4 = 4 (TRUE)