Question

Which function is shown in the graph? A. f(x) = x2 – 3x – 10 B. f(x) = x2 + 3x – 10 C. f(x) = x2 + x - 12 D. f(x) = x2 – 5x – 8

Answer 1

Step-by-step explanation:

The graph shown have roots of x = -2 and x = 5

We could solve for x in each of the quadratic equations or we could plot the graphs of each of the quadratic equation.Then we pick the one with the roots of -2 and 5.

Plotting the graphs:

The roots of quadratic functionis the value of x when y is equal to zero.

From the graph attached above, f(x) = x² + 3x – 10 representing the blue parabola has roots of (-5, 0) and (2, 0).

This means the roots are -5 and 2.

Hence, the function in the graph is f(x) = x² + 3x – 10