Mathematics, 11.05.2021 04:00 anna2894

Rewrite the function by completing the square. g(x)=4x^2-16x+7

g(x)=_(x+_)^2+__

Answers: 2

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Answer from: gdhshwjfs

g(x) = 4(x - 2)^2 -9

Step-by-step explanation:

Given

g(x) = 4x^2 - 16x + 7

Required

Complete the square

Rewrite so that x^2 has 1 coefficient

g(x) = 4(x^2 - 4x) + 7

Take half of the coefficient of x

$\frac{4}{2} = 2$

Square the result

$(\frac{4}{2})^2 = 2^2$

$(\frac{4}{2})^2 = 4$

Add and subtract the result in the bracket

g(x) = 4(x^2 - 4x + 4 - 4) + 7

Expand the bracket to remove -4

g(x) = 4(x^2 - 4x + 4) - 16 + 7

g(x) = 4(x^2 - 4x + 4) -9

Expand the bracket

g(x) = 4(x^2 - 2x -2x+ 4) -9

Factorize

g(x) = 4(x(x - 2) -2(x-2)) -9

Factor out x - 2

g(x) = 4((x - 2)(x-2)) -9

Express as square

g(x) = 4(x - 2)^2 -9

Answer from: Quest

this is a very good question

step-by-step explanation:

i got a hair cut today from my mom not to flex just to flex kim jon un is one rad fellow i'd say you'd need to take the hairline in kinda like a box shape like someone rammed a lego brick into your head. from there you really need to take the top up keeping with that boxy aesthetic, finally coat the whole thing with gel if your country economics are failing or whatever you can just coat it with the starving children's food rations. about 5 orphans per strand is a good ratio. good luck with the fresh cut my dude

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

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Rewrite the function by completing the square. g(x)=4x^2-16x+7

g(x)=___(x+___)^2+__...

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