The reflector of a satellite dish is in the shape of a parabola with a diameter of 4 feet and a depth of 2 feet. To get the maximum reception we need to place the antenna at the focus. a. Write the equation of the parabola of the cross section of the dish, placing the vertex of the parabola at the origin. Convert the equation into standard form, if necessary. What is the defining feature of the equation that tells us it is a parabola

--- equation

--- focus

--- directrix

---- focal width

Step-by-step explanation:

Given

Required

The equation of parabola

The depth represents the y-axis. So:

The diameter represents how the parabola is evenly distributed across the x-axis.

We have:

-2 to 2 is 4 units.

So:

So, the coordinates of the parabola is:

The equation of the parabola is calculated using:

Substitute (-2,2) for (x,y)

Divide by 8

So, the equation is:

The defining features

(a) Focus

The focus is located at:

(b) Directrix (y)

(c) Focal width

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step-by-step explanation:

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answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.