SOLUTION: What is the lowest point on the graph of y=2(x+5)^​2−4? Explain how you can be sure there is no point lower on its graph.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What is the lowest point on the graph of y=2(x+5)^​2−4? Explain how you can be sure there is no point lower on its graph.      Log On


   

Question 968375: What is the lowest point on the graph of y=2(x+5)^​2−4? Explain how you can be sure there is no point lower on its graph.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The lowest point on the graph is (-5,-4), with system%28x=-5%2Cy=-4%29 .
If x=-5 , x%2B5=0 , then %28x%2B5%29%5E2=0 , and y=2%28x%2B5%29%5E2-4=2%2A0-4=0-4=-4
For all other values of x, the y value is greater:
If x%3C%3E-5 , then %28x%2B5%29%5E2%3E0 , %28x%2B5%29%5E2%3E0 , y=2%28x%2B5%29%5E2-4%3E0-4 , and y=2%28x%2B5%29%5E2-4%3E-4.