Answer:
4. Quadratic function.
Step by step explanation:
We have been given a graph and we are asked to find the type of function modeled by the data on graph.
Let us check our given options one by one.
1. Inverse function: An inverse function reverses another function. Since we know that a parabola don't have an inverse function, therefore, 1st option is not correct.
2. Linear function: Linear function represents graph of a straight line. We can see from our graph that our function is not a line, therefore, 2nd option is incorrect.
3. Square root function: This function is inverse function for the square function. The graph of a square root function meets x axis at-most once. We can see from our graph that our function is touching x-axis at two places, therefore, 3rd option is incorrect too.
4. Quadratic function: The graph of a quadratic function is a curve called parabola. We can see that function shown in our graph is a parabola, which is opening downward.
Therefore, 4th option is the correct choice.