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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)

 Apr 10, 2018
 #1
avatar+100588 
+5

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

 

 

cool cool cool

 Apr 10, 2018
 #2
avatar+428 
-1

 

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

 Apr 10, 2018

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