SOLUTION: all i need is # of roots, range, and axis of symmetry for the problem f(x)=-x^2-2x+3 PLEASE and Thank You

Algebra ->  Square-cubic-other-roots -> SOLUTION: all i need is # of roots, range, and axis of symmetry for the problem f(x)=-x^2-2x+3 PLEASE and Thank You       Log On


   

Question 1206295: all i need is # of roots, range, and axis of symmetry for the problem
f(x)=-x^2-2x+3
PLEASE and Thank You
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
zeros,
f%28x%29=-1%28x%5E2%2B2x-3%29
f%28x%29=-1%28x%2B3%29%28x-1%29
zeros are -3 and +1.

Vertex is at the exact middle of the two roots, x=-1, the symmetry axis x=-1.

Maximum point (the vertex) is f%28-1%29=-1%28-1%2B3%29%28-1-1%29=-1%282%29%28-2%29=4.
Range is the real numbers less than or equal to +4.