Question

Suppose f(x) = x^2 find the graph of f(x) + 1

Answer 1

We have been given the function
`f(x)=x^2`

We have to plot the graph of the function f(x)+1. Let the function is g(x). It means we have to plot the graph of the function
`g(x)=x^2+1`

In order to plot this graph, we can use the rule of transformation of graph.

The function f(x)=x^2 represents a vertical parabola having vertex at (0,0).

Now, we know that if we add "a" to any function then the graph of this function will shift upward by "a" units.

Hence, if we add 1 to the function f(x) then the graph of the function will shift upward by 1 unit.

Thus, the resultant graph will be a parabola having vertex at (0,1).

The graph of the translated function f(x)+1 is shown in the attached file.