Answer:
P(x) = - 5(x + 2)²(x - 3)
Step-by-step explanation:
Given roots x = - 2 with multiplicity 2 and x = 3 , then the factors are
(x + 2)² and (x - 3)
P(x) is then the product of the factors, that is
P(x) = a(x + 2)²(x - 3) ← a is a multiplier
To find a substitute (2, 80) into P(x)
80 = a(2 + 2)²(2 - 3) = a(16)(- 1) = - 16a ( divide both sides by - 16 )
a = - 5
P(x) = - 5(x + 2)²(x - 3)
You need to attach the photo we can’t see
Answer: Focus = (-2, 3)
<u>Step-by-step explanation:</u>

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

Then finding the maximum by inputting x = -2 into the given equation:

The vertex is: (-2, 4)
Now let's find p, which is the distance from the vertex to the focus:

The vertex is (-2, 4) and p = -1
The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)
Variables represent unknowns. They are often letters (like x) but can also be other symbols like Greek numerics.
Hope this helps!!
Answer:
Im pretty sure this is the answer F (x) = e^2x + 1
Step-by-step explanation: