Jenny likes to paint. She estimates the number of paintings she completes using the function P of w equals one half times w plus
2 answers:
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Step-by-step explanation:
If the parabola has the form
(vertex form)
then its vertex is located at the point (h, k). Therefore, the vertex of the parabola
is located at the point (8, 6).
To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is
where is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is
By definition, the length of the latus rectum is four times the focal length so therefore, its value is
For this case we have the following expression:
We multiply both sides by:
We divide both sides by 216:
To divide powers of the same base, we place the same base and subtract the exponents:
Rewriting:
To multiply powers of the same base, we place the same base and add the exponents:
We know that any number raised to zero is 1,
So, for equality to be true:
Answer: