SOLUTION: invastigate the promlem y=xsquar+4x-4 name... table like x and y domain.... range..... slope.... asyptom.... graph "that is my question i hope yo

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: invastigate the promlem y=xsquar+4x-4 name... table like x and y domain.... range..... slope.... asyptom.... graph "that is my question i hope yo      Log On


   

Question 102276: invastigate the promlem
y=xsquar+4x-4
name... table like x and y
domain....
range.....
slope....
asyptom....
graph
"that is my question i hope you may uderstand cause i am not good in english"
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
y=x^2+4x-4
domain: all real numbers.
range: [-8,infinity)
Ed
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B4x%2B-4+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%284%29%5E2-4%2A1%2A-4=32.

Discriminant d=32 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-4%2B-sqrt%28+32+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%284%29%2Bsqrt%28+32+%29%29%2F2%5C1+=+0.82842712474619
x%5B2%5D+=+%28-%284%29-sqrt%28+32+%29%29%2F2%5C1+=+-4.82842712474619

Quadratic expression 1x%5E2%2B4x%2B-4 can be factored:
1x%5E2%2B4x%2B-4+=+%28x-0.82842712474619%29%2A%28x--4.82842712474619%29
Again, the answer is: 0.82842712474619, -4.82842712474619. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B4%2Ax%2B-4+%29