the vertex of a function y=9-8x-x^2 is (-4,25)?
The vertex can be found by the x co-ordinate being, \[\frac{ -b }{ 2a }\] than just substitute back to find the y co-ordinate.
watch the sign
remember, a = -1
@some_someone i cant message you unless you fann me :P
hello again
\(y=- (b^{2}-4ac)/4a\)
hi
guys i know you guys are trying to help but like ive never done this so idk what you guys are doing .. :(
you are right
it is in fact \((-4,25)\)
y=9-8x-x^2 first rewrite this as y= ax^2 +bx + c: y = -x^2 - 8x + 9 now compare to y= ax^2 +bx + c
So a=-1. b=-8. Now use -b/(2a) to find the x-coordinate of the vertex.
The equation you have is a quadratic. It is a "bowl." Because of the negative sign in front of the quadratic term, the bowl is "upside down" opening up to the bottom. So there is a peak somewhere above this bowl. This peak occurs at (-4,25). Try any point to the left and right of x=-4 and y will always be smaller. That's how you know you found the peak, or the vertex of this parabola.
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