y-x-2-bx-c-x-1-point-function-accepts-a-maximum-value-equal-to-5-Find-y-1-

Question Number 12596 by @ANTARES_VY last updated on 26/Apr/17

y = - x^{2} + bx + c x = - 1

point function accepts a maximum

value equal to 5 . Find y (1) .

Answered by ajfour last updated on 26/Apr/17

y = c - [{(x - \frac{b}{2})}^{2} - \frac{b^{2}}{4}]

h a s m a x i m u m a t x = \frac{b}{2}

s o \frac{b}{2} = - 1 \Rightarrow b = - 2

t h e m a x i m u m v a l u e b e i n g

c + \frac{b^{2}}{4} = 5 \Rightarrow c = 5 - \frac{b^{2}}{4} = 5 - \frac{4}{4} = 4

y = - x^{2} - 2 x + 4 = 5 - {(x + 1)}^{2}

y (1) = - 1 + b + c = - 1 - 2 + 4 = 1 .

Commented by @ANTARES_VY last updated on 26/Apr/17

error answer

Commented by ajfour last updated on 26/Apr/17

n o w ?

Commented by @ANTARES_VY last updated on 26/Apr/17

The answer should be 1 .

Commented by @ANTARES_VY last updated on 26/Apr/17

A series please