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Mathematics 18 Online
OpenStudy (anonymous):

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)

OpenStudy (anonymous):

OpenStudy (anonymous):

@phi

OpenStudy (anonymous):

@Nnesha @pooja195

OpenStudy (phi):

what is the maximum value for function 1?

OpenStudy (anonymous):

15?

OpenStudy (phi):

isn't function 1 the graph ?

OpenStudy (anonymous):

Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15

OpenStudy (anonymous):

It says that so I said that but eh fine the graph

OpenStudy (anonymous):

The largest number in the graph is 6

OpenStudy (phi):

this graph

OpenStudy (anonymous):

Yes that graph

OpenStudy (phi):

that graph has a peak at y=1 (the highest it goes)

OpenStudy (anonymous):

oh ok

OpenStudy (phi):

the red line shows the max y value

OpenStudy (anonymous):

and its one like you said

OpenStudy (phi):

function 2 is \[ f(x) = −x^2 + 2x − 3 \] match this with \[ a x^2 + bx+c\] to see a=-1 and b=2 then figure out x= -b/(2a) it has a peak at x= -2/(-2) = 1

OpenStudy (anonymous):

Alright

OpenStudy (phi):

we want to find the y value of the peak for function 2 we know that happens at x= 1 (see the above post) put 1 in place of x in -x^2 + 2x -3 to get - (1*1) + 2*1 - 3 or -1 + 2 -3 1-3 -2 the peak is at y=-2

OpenStudy (phi):

which is higher (bigger) y= 1 for function 1 or y= -2 for function 2 ?

OpenStudy (anonymous):

The first one Function One Thanks @phi

OpenStudy (phi):

yes

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