Which is the graph of the function f(x) = x2 + 2x + 3?
Answer:
Refer the graph attached.
Step-by-step explanation:
Given : Equation \(f(x) = x^2 + 2x + 3\)
To find : The graph of the given equation?
Solution :
Let,\(y= x^2 + 2x + 3\)
First we find the points which satisfy the equation and then joining those points give you the graph.
Points are
x y
-3 6
-2 3
-1 2
0 3
1 6
Now, We plot these points.
The graph is the parabola with vertex (-1,2).
Refer the attached graph below.