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Firdavs [7]
3 years ago
8

PLLLLLSSSS Heeeellppp ill mark brainliest I promisseeeeeeee plsssss

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

2\,(x-1)^2=4

which is the first option in the list of possible answers.

Step-by-step explanation:

Recall that the minimum of a parabola generated by a quadratic expression is at the vertex of the parabola, and the formula for the vertex of a quadratic of the general form:

y=ax^2+bx+c

is at   x_{vertex}=\frac{-b}{2\,a}

For our case, where a=2\,\,, b=-4\,\,,\,\,and \,\,c=-2  we have:

x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{4}{2\,*\,2}\\x_{vertex}=1

And when x = 1, the value of "y" is:

y(x)=2x^2-4x-2\\y(1)=2(1)^2-4(1)-2\\y(1)=2-6\\y(1)=-4\\y_{vertex}=-4

Recall now that we can write the quadratic in what is called: "vertex form" using the coordinates (x_{vertex},y_{vertex)of the vertex as follows:

y-y_{vertex}=a\,(x-x_{vertex})^2

Then, for our case:

y-(-4)=2\,(x-1)^2\\y=2\,(x-1)^2-4

Then, for the quadratic equal to zero as requested in the problem, we have:

y=2\,(x-1)^2-4=0\\2\,(x-1)^2-4=0\\2\,(x-1)^2=4

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3 years ago
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2 years ago
if 16 friends went on a trip and it was 200 miles away how many miles would it take to split the trip into 16 parts?
dalvyx [7]
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8 0
3 years ago
Write an exponential function in the form y=ab^xy=ab x that goes through points (0,8) and (2,288)
timofeeve [1]

Answer:

y = 8•6^x

Step-by-step explanation:

Here, we want to write an exponential equation

To fully write this, we need the values of a and b

From the first coordinates given;

8 = a•b^0

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4 0
3 years ago
Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one blo
Darina [25.2K]
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8 0
3 years ago
Read 2 more answers
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