Answer:
All in the Explanation
Explanation:
Vertex of the Parabola=(0,36)
X-Intercepts are (-6,0) and (0,6)
An equation with roots 6 and -6 is determined below;
x=6 or x=-6
(x-6)(x+6)=0


The two points of the slanted line cutting through the parabola are (-6,0) and (3,27).
First, we determine the equation of the line.
- Gradient of points (-6,0) and (3,27).
The slope of a line passing through the two points and is given by

We have that

Plug the given values into the formula for slope:

Now, the y-intercept is
the result is the same).

Finally, the equation of the line can be written in the form

f(x)=3x+18.
- The domain of the rainbow is the set of values of x while the range is the set of values of f(x).
- The x- and y-intercepts of the rainbow are the points where the curve cuts the x and y axis respectively.
- The x-intercepts are (-6,0) and (6,0)
- The y-intercept is (0,36)
The linear function y=3x+18 is positive since its slope, m is positive.
The system of equation created by the parabola and the curve is determined below:

The solution of the system
. They represent the point of intersections of the curve and parabola.