SOLUTION: I need help solving ((( graph the function y= x^2 + 2x - 3 and identify the range if the domain is all real numbers)))

Algebra ->  Functions -> SOLUTION: I need help solving ((( graph the function y= x^2 + 2x - 3 and identify the range if the domain is all real numbers)))      Log On


   

Question 459800: I need help solving ((( graph the function y= x^2 + 2x - 3 and identify the range if the domain is all real numbers)))
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
We write this equation in the standard form +y%5E2=a%28x-h%29%5E2%2Bk+
y=x%5E2+%2B2x+%2B1-1-3=>y=%28x%2B1%29%5E2-4, which represent an upward parabola.
Since its vertex is the point (-1, -4) the minimum value for y is -4, therefore
its range is the interval (-4, infinity) or in set notation {y|y>-4}