<span>From the given information cosec theta times tan theta times cos theta, writing this triginometric expression as an equation.
cosec theta x tan theta x cos theta
cosec theta = 1/sin theta
tan theta = sin theta / cos theta
Calculating the equation after substituting
(1/sin theta) x (sin theta / cos theta) x (cos theta) = 1</span>
Using the given information we found that the equation of the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
<h3>
How to get the equation of the parabola?</h3>
For a parabola with vertex (h, k), the equation is:
y = a*(x - h)^2 + k
Here the vertex is (3, 5), so the equation is:
y = a*(x - 3)^2 + 5
And the y-intercept is y = 1, this means that:
1 = a*(0 - 3)^2 + 5
1 = a*9 + 5
1 - 5 = a*9
-4/9 = a
So the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
If you want to learn more about parabolas, you can read:
brainly.com/question/1480401
It will graph a straight horizontal line at -1