Question

Could. you write this down on a paper and make graphs

The vertex of the parabola is (0, 36), so the equation of the parabola will be of the form y = a(x - 0)^2 + 36, where a is a negative number.

We know that the parabola crosses the x-axis at (-6, 0) and (6, 0), so we can substitute these points into the equation to get two equations:

0 = a(-6 - 0)^2 + 36

0 = a(6 - 0)^2 + 36

Solving these equations, we get a = -1.

Therefore, the equation of the rainbow parabola is y = -(x^2) + 36.

Table of values for the linear function

The drone intersects the parabola at (-4, 20) and (4, 20), so the linear function must pass through these points.

Let's call the linear function f(x). We can then write two equations to represent the two points of intersection:

f(-4) = 20

f(4) = 20

Solving these equations, we get f(x) = 20.

A table of values for f(x) is shown below:

x | f(x)

---|---

-4 | 20

-3 | 18

-2 | 16

-1 | 14

0 | 12

1 | 10

2 | 8

3 | 6

4 | 4

Answer 1

Tip:

I don't wish to make the graph but here is some advice,

Parabola:

The equation of the parabola is y = -(x^2) + 36. The vertex of the parabola is at (0, 36), and it opens downward. The parabola crosses the x-axis at (-6, 0) and (6, 0).

Linear Function:

The linear function is represented by f(x) = 20. It is a horizontal line passing through the points (-4, 20) and (4, 20).

Please note that the parabola and linear function intersect at the points (-4, 20) and (4, 20). The linear function remains constant at y = 20 for all other x-values.