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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!

Respuesta :

nobillionaireNobley
[tex]y=- x^{2} +8x-15[/tex]
written in vertex form, we have,
[tex]y=-(x-4)^{2} +1[/tex],
i.e. vertex = (4, 1) and maximum value at y = 1.
 
[tex]y=- x^{2} +2x-3[/tex]
written in vertex form, we have,
[tex]y=-(x-1)^{2} -2[/tex],
i.e. vertex = (1, -2) and maximum value at y = -2.

Therefore, [tex]y=- x^{2} +8x-15[/tex] has the larger maximum.
 


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