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did you enter in -2 for x and -1 for y
4a = b
-1 = a(-2)^2 +(4a)(-2) - 4
a = -3/4?
b = 3?
How did you get b = 2?
so a has different value too
myininaya, how come you just can't do things the normal way?
so you cant just sub -2 into one equation and -1 into another, andthe other number equal zero? or does that not mke any sense?
I'm just a little confused by the math you did above..lol
myininaya likes to go overboard with her methods
ok hero but there are two possible outcomes
Not if you do it the way I did. I used direct substitution
We have a parabola concave up and also concave down at vertex
Here I will do it the way I told you to
Im familar with substitution , just not the way shown above im only in gr 10 so mabye thats why i dont get yours?
a = -3/4 b = -3
^did you make 2 equations and then substitutions?
something like that
-1 = a(-2)^2 +(4a)(-2) - 4 :this is what you did, why did you sub 4a into the equation? is there a more strait forward way to do this? :)
myininaya, if you use the direct substitution method, you wouldn't have to worry about getting hung up like that. The parabola opens upward or downward depending on the value of a. Since I calculated a to be negative, I'm pretty sure it opens downward and there is only one possibility
I replace b with 4a because b = 4a
I also replaced x = -2 and y = -1
Which are all of the known values
according to x = -b/2a, there's only one possible a
alright im still a bit confused but thanks for your help!! :)
\[-1=a(-2)^2+b(-2)-4\] \[-1=4a-2b-4 => 3=4a-2b\] We also know the vertex which is (-2,-1) \[y=a(x-h)^2+k\] we also know h=-2 and k=-1 so we have \[y=a(x+2)^2-1=a(x^2+4x+4)-1=ax^2+4ax+4a-1=ax^2+4ax+(4a-1)\] \[=>4a=b , -4=4a-1\] \[=>3=b-2b=> 3=-b=> b=-3\] if b=-3 then a=-3/4 hmmm how do we get the other possibility ok so maybe there is only one lol
There's only one possibility because there's only one a value that would work in order to get both sides equal for x = -b/2a
if a was squared, then there would be two possibilities
I didn't think about the y-intercept
The parabola has vertex (-2,-1) and -4 is lower so this graph will be concave down
we can't not have it concave up is has to come to that -4
so my bad hero you win this one
I don't win many so I will savor this :P
hey lady do you understand what i did up there?
A bit lol but thanks!
mya likes to confuse people then ask if they understand
you also have to use the vertex form like i did to find another equation or two
im still pretty confused but i can move on to a different qestion on my assignment lol thanks for the help on this one tho :)
You're still here?