Chapter EP, Problem 2.7.1EP

To determine

The type of function represented by each graph.

Answer to Problem 2.7.1EP

the required function is $y=x^2+m$ .

Explanation of Solution

Given information:

The graph:

Formula used:

Adding $a$ to a function $f\left(x\right)$ , moves the graph upward.

Comparing the graph with $y=x^2$

The graph of $y=x^2$ is,

As we can see, the given graph is upward then $y=x^2$ ,

Lets assume, the given graph is $m$ upward then $y=x^2$ ,

Recall that Adding $a$ to a function $f\left(x\right)$ , moves the graph upward.

So, the required function is $y=x^2+m$ .