Vertex: (-2,1)
Maximum or Minimum: The graph has minimum point and gives minimum value because the minimum point gives the least y-value. That's why it is called minimum.
End of behavior:
When x approaches positive infinity, f(x) will approach positive infinity.
When x approaches negative infinity, f(x) will approach positive infinity as well.
Why no solution:
The graph doesn't intercept any x-axis. Therefore the graph doesn't have any solutions.
y-intercept: (0,5)
describe shape of the graph:
The graph decreases when x<0 and increases when x>0.
x<0 is concave up but decreasing
x>0 is concave up but increasing