# 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.

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###### Question:

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.

## Answers

y = a(x - p)(x - q) p and q are the zeros of the parabola, -6 and 6 y = a(x + 6)(x - 6) Substitute third point (0, 36) into the above equation to solve for a.y = a(x + 6)(x - 6)36 = a(0+6)(0-6)36 = a(-36)a = -1So the equation isy = -(x + 6)(x - 6)

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