Focus (-3,3) vertex (0,3). What is the equation for the parabla
1 answer:
Answer:
(y - 3)² = 12(x + 3)
Step-by-step explanation:
The focus is to the right of the vertex, so the parabola is sideways and opens to the right.
The conic form of a sideways parabola is
(y - k)² = 4p(x - h)
The vertex is at h = -3; k = 3
The focus is at (h + p, k) = (-3 + p, 3)
The vertex and focus are three units apart, so p = 3.
The equation of your parabola is
(y - 3)² = 12(x + 3)
The figure below shows the graph of your parabola with its focus and vertex.
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Answer:
The index of refraction for Medium 2 would be 1.25
Step-by-step explanation:
We have the following data:
Speed of light in Medium 1 = V₁
Speed of light in Medium 2 = V₂
The speed of Light in Medium 2 is related to speed of light in Medium 1 as:
V₂ = 0.8 V₁
Moreover, it is given that Medium 1 is air with index of refraction equal to 1. i.e.
n₁ = 1
We need to find the index of refraction for medium 2. Lets name it is as n₂.
Snell's law related the above mentioned 4 quantities by following relation:
The ratio of indices of refraction of 2 mediums is equivalent to the reciprocal of ratio of phase velocities in those 2 mediums. Mathematically, this can be written as:
Substituting the values we have gives us:
This means, the index of refraction for Medium 2 would be 1.25
I sent a picture showing how to do it.
