Respuesta :
Answer:
See attachment
Step-by-step explanation:
We were given the equation of a rainbow, which follows a parabolic path, which is
[tex]y = - 0.1 {(x - 1)}^{2} + 6[/tex]
By comparing to the vertex form,
[tex]y = a {(x - h)}^{2} + k[/tex]
We have the vertex at (h,k)=(1,6)
Since a=-0.1<0, the parabola opens down.
At y-intercept, x=0. This means:
[tex]y = - 0.1 {(0 - 1)}^{2} + 6 = 5 .9[/tex]
The graph is shown in attachment.

Graph is image 1.
The given equation is: [tex]y = -0.1(x - 1)^2 + 6[/tex].
We make a table:
x -3 1 5
y 4.4 6 4.4
Then we plot the points and join using a curve.
Hence, the graph is image 1.
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