SOLUTION: Use substitution to find where the two parabolas below intersect. Then confirm your solution by graphing both on the same set of axes. y=x^2+5 y=x^2+2x+1

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Use substitution to find where the two parabolas below intersect. Then confirm your solution by graphing both on the same set of axes. y=x^2+5 y=x^2+2x+1       Log On


   

Question 945378: Use substitution to find where the two parabolas below intersect. Then confirm your solution by graphing both on the same set of axes.
y=x^2+5
y=x^2+2x+1
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B5=x%5E2%2B2x%2B1 Subtract x^2 from each side
+5=2x%2B1 Subtract 1 from each side
4=2x Divide each side by two
2=x
Substitute in the two original equations and find y
y=x%5E2%2B5
y=2%5E2%2B5
y=9
y=x%5E2%2B2x%2B1
y=2%5E2%2B%282%2A2%29%2B1
y=4%2B4%2B1
y=9
So the two graphs intersect at the point (2,9)
+graph%28+800%2C+800%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2B5%2C+x%5E2%2B2x%2B1%29+