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TEA [102]
3 years ago
5

What are four kinds of parabolas

Mathematics
1 answer:
patriot [66]3 years ago
3 0
Solutions 

<span>A right handed parabola: </span>y^2=4ax<span><span>

</span></span>A left handed parabola: y^2=-4ax<span>

</span>An up facing parabola: x^2=4ay<span>

</span>A down facing parabola: x^2=-4ay
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Answer:

See below.

Step-by-step explanation:

It can really help to think when you see |expression| that it means the distance from expression to zero.

(a)  |x| < 7  means the distance from  x  to 0 is less than 7.  That puts  x  between -7 and 7.  The solution set is  -7 < x < 7.

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y-8 < -11 \text{ or } y-8 > 11\\\\y < -3 \text{ or } y > 19

(g)  |3x-1| \ge 18 means that the distance from 3x - 1 to 0 is more than (or equal to)  18.  Another way to say it is, 3x - 1 is farther from 0 than 18 units.  That puts  3x - 1 in one of two places:  to the left of -18 or to the right of 18.

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-13 \le 4y+3 \le 13\\\\-16 \le 4y \le 10\\\\-4 \le y \le \frac{5}{2}

(That last fraction is 10/4 simplified.)

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