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 − 3
Function _ has the larger maximum.
(Put 1 or 2 in the blank space)
f(x) = -x^2 + 8x - 15
f(x) = -x^2 + 2x - 3
The x value of the vertex of the first function is -8 / (2 * -1) = 4
And the max is -(4)^2 + 8(4) - 15 = 1
The x value of the vertex of the second function is -2 / (2 * -1) = 1
And the max is - (1)^2 + 2(1) - 3 = - 2
So Function 1 has the greater max
The x value of the vertex of the first function is -8 / (2 * -1) = 4
And the max is -(4)^2 + 8(4) - 15 = 1
The x value of the vertex of the second function is -2 / (2 * -1) = 1
And the max is - (1)^2 + 2(1) - 3 = - 2
So Function 1 has the greater max