Question

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)

Numerical Answers Expected!

Answer for Blank 1:

Answer 1

Your first step is to write out equation 1.
Then you have to find the vertex of each equation, x = \[\frac{ -b }{ 2a }\]
Then plug that value back into its respective equation. Whichever one produces the highest number is the one with the greater maximum.

Answer 2

So for the first equation: f(x)=-x2+8x-15
-b/2a = -8/-2 = 4
-(4)2 + 8(4) -15 = 1

For the second equation:
-b/2a = -2 / -2 = 1
-(1)2 +2(1) - 3 = -2
1 > -2

And therefore, equation 1 has the higher maximum

Answer 3

ty!