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MA_775_DIABLO [31]
3 years ago
12

Consider the parabola represented by the equation -2y^2=4x

Mathematics
1 answer:
stepan [7]3 years ago
5 0
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)

Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.

Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
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Answer:

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Have a great rest of your day, and I hope this helps!

<em>-kiniwih426</em>

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3 years ago
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Snowcat [4.5K]
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Nataly [62]

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(x2+6x+8)(x-5) using the distributive property

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For the next one, the factors are a bit more complicated because of the radical.  With a radical, you will also have to have a factor with the conjugate (Same term opposite sign)

4, 6, negative square root of 7

Factors would be:  (x-4)(x-6)(x-√7)(x+√7)  You can FOIL the first 2 factors and the last 2, then multiply them together using the distributive property.



Step-by-step explanation:

hope this helps!!!!

4 0
3 years ago
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