Question 7d0fa86a

Advanced Math - Nonlinear equations in one variable and systems of equations in two variables

The figure presents the graph of a curve in the xy-plane. The curve is labeled y equals f of x. The numbers 0 through 9 are indicated on the x-axis. The numbers 0 through 12, in increments of 2, are indicated on the y-axis. The curve begins at the point with coordinates 0 comma 2 and moves upward and to the right reaching a maximum at the point with coordinates 4 comma 10. It turns and moves downward and to the right, ending at 8 point 5 on the x-axis

The graph of the function f, defined by $f of x equals, negative one-half times, open parenthesis, x minus 4, close parenthesis, squared, plus 10$ , is shown in the xy-plane above. If the function g (not shown) is defined by $g of x equals, negative x plus 10$ , what is one possible value of a such that $f of a equals, g of a$ ?