Question

Graph the function$f\left(x\right)=x^2+1$.

Short answer

The graph of the function is

.

Step-by-step solution

Given information

The quadratic function is given as$f\left(x\right)=x^2+1$for the graph.

Graph the function

Apply the properties to get the graph of the given function.

• If the function is given as$f\left(x\right)=a{x}^2+bx+c$, where a is positive, then the graph of the function is a parabola that opens upward.
• Apply the substitution of the independent variable into the given function and solve to find the points that lie on the graph.
• Substitute the variable as 0, 1, 2, -1, -2 into the function and get the points.

x	0	1	2	-1	-2
f(x)	1	2	5	2	5