SOLUTION: 1)find the vertex and intercepts of the function: f(x)=x^2+x-2 2)Graph the linear equation: y=(2/x)x-2 3) Find the x and y intercepts of 4x+3y=-12 Please help. I

Algebra ->  Coordinate-system -> SOLUTION: 1)find the vertex and intercepts of the function: f(x)=x^2+x-2 2)Graph the linear equation: y=(2/x)x-2 3) Find the x and y intercepts of 4x+3y=-12 Please help. I       Log On


   

Question 105679: 1)find the vertex and intercepts of the function:
f(x)=x^2+x-2

2)Graph the linear equation: y=(2/x)x-2

3) Find the x and y intercepts of 4x+3y=-12

Please help. I am really lost here and needs some good examples so i can do my homework.
thanks
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
For your first problem, read my lesson---Shortcut in finding the vertex of any parabola
Then, go back to this page.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
y=x%5E2%2Bx-2
dy%2Fdx=2x%2B1=0
Solving 2x%2B1=0
2x%2B1=0
2x%2B1-1=0-1
2x%2B0=-1
2x=-1
x=-1%2F2
Solving for y,
y=x%5E2%2Bx-2
y=%28-1%2F2%29%5E2%2B%28-1%2F2%29-2
y=1%2F4-1%2F2-2
4y=4%281%2F4%29-4%281%2F2%29-4%282%29
4y=1-2-8
4y=%281-2%29-8
4y=-1-8
4y=-9
y=-9%2F4
Since we obtained x=-1%2F2 and y=-9%2F4, thus, the vertex is located at (-1%2F2,-9%2F4).

Proof? Look below!

graph%281000%2C1000%2C-20%2C20%2C-20%2C20%2Cx%5E2%2Bx-2%2C-9%2F4%29


Power up,
HyperBrain!