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Stella [2.4K]
3 years ago
11

What's the quadratic equation?

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
6 0
The standard form of the quadratic equation is ax^2 + bx + c. In vertex form, it's y = a(x – h)2 + k. 
The graph of a quadratic equation is a parabola, which looks like a u. If <em>a</em> is negative then it's an upside down u.
o-na [289]3 years ago
4 0

in 8th grade my algebra teacher made us memorize the quadratic equation song (to the rhythm of pop goes the weasel):

x equals negative b plus or minus the square root of b squared minus 4ac all over 2a

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Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all
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Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

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Then if we have something like:

IxI < B

We can rewrite this as

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Now let's answer the question, here we have the inequality:

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Then we can rewrite this as:

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Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

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Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

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Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

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Step-by-step explanation:

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