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

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.

Ver imagen kudzordzifrancis

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.

Learn more: https://brainly.com/question/9201543

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