The following graph describes function 1, and the equation below it describes function 2: function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 function 2 f (x) = - x2 2x - 15 function has the larger maximum.

Function 1: f (x) = - x^2 + 8x - 15 = - (x^2 - 8x + 15) = - (x^2 - 8x + 16 + 15 - 16) = - (x - 4) ^2 + 1

Vertex = (4, 1)

function 2: f (x) = - x^2 + 2x - 15 = - (x^2 - 2x + 15) = - (x^2 - 2x + 1 + 15 - 1) = - (x - 1) ^2 - 14

vertex = (1, - 14)

Larger maximum is f (x) = - x^2 + 8x - 15