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!

Verified Answer :

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

Therefore, \(y=- x^{2} +8x-15\) has the larger maximum.