Question

This is my first time using this and im really stuck on this question i got a 50 on it. Can someone help ?
After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola.

Create an equation. Use the graph below to create the equation of the rainbow parabola

Answer 1

we can use the vertex to create an equation

Answer 2

Well we know the equation has 2 roots -6,+6

Answer 3

f(x)=a (x-h)+k

Answer 4

or use complete line factorization as @cocunutjj suggested

Answer 5

I need a second equation, this is what my teacher replied.
"What is your 2nd equation and where does it intersect y=-x^2+36"

Answer 6

using the rots we get the factor of
y =-1(x-6)(x+6)

Answer 7

does he want the equation in standard form
\[ax ^{2} + bx + c\]

Answer 8

I dont think so...
The following question is Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It intersects the rainbow at two points. Choose the points where your drone intersects the parabola and create a table of at least four values for the function. Remember to include the two points of intersection in your table.

SO i think just in y=mx+b form

Answer 9

Im just stuck on the making the equation part