SOLUTION: f(x)=x^2+6x+4 1. Find the vertex 2. State the range of the function 3. On what interval is the function decreasing?

Algebra ->  Functions -> SOLUTION: f(x)=x^2+6x+4 1. Find the vertex 2. State the range of the function 3. On what interval is the function decreasing?      Log On


   



Question 891744: f(x)=x^2+6x+4
1. Find the vertex
2. State the range of the function
3. On what interval is the function decreasing?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x^2+6x+4
1. Find the vertex
2. State the range of the function
3. On what interval is the function decreasing?
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f(x)=x^2+6x+4
complete the square:
f(x)=(x^2+6x+9)-9+4
f(x)=(x+3)^2-5
vertex:(-3,-5)
range:(-5,∞)
interval function is decreasing:(-∞,-3)
see graph below:+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28x%2B3%29%5E2-5%29+