Question

Students at Mr. Mackie’s art class went outside to draw a rainbow, which follows a parabolic path and has the equation of = −0.1( − 1) + 6, where and are measured in centimeters. Graph the function.

If the height of the rainbow is 6 cm, how far away are the end points of the rainbow from one another?

HELP!!

Answer 1

We were given the equation of a rainbow, which follows a parabolic path, which is

By comparing to the vertex form,

We have the vertex at (h,k)=(1,6)

Since a=-0.1<0, the parabola opens down.

At y-intercept, x=0.

Explanation: