## Algebra 1

Answers may vary. $y=-x^2-x-1$ is one answer
The axis of symmetry also provides the maximum or minimum value for a function (if the value of $a$ is negative or positive, respectively). Since the graph is entirely below the x-axis, we know the axis of symmetry will provide the maximum value. $y=-x^2-x-1$ $x=-b/2a$ $x=-(-1)/2*(-1)$ $x = 1/-2$ $x=-1/2$ $y=-x^2-x-1$ $y=-(-1/2)^2-(-1/2)-1$ $y=-1/4+1/2-1$ $y=1/4-1$ $y=-3/4$