if you go to wolfram alpha click on the website and paste your solution it will give you step by step instructions. hope that helps.
Step-by-step explanation:
I'm not very good at explain math problems online so this will help because I always go here for math homework.
Answer:
The vertex of this parabola,
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where
,
, and
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for
, and the coefficient for
should all match accordingly. That is:
.
The first equation implies that
is equal to
. Hence, replace the "
" in the second equation with
to eliminate
:
.
.
Similarly, replace the "
" and the "
" in the third equation with
and
, respectively:
.
.
Therefore,
would be equivalent to
. The vertex of this parabola would thus be:
.
sub
<span>
</span>
since -x^2+x+19=y
<span>
</span>
x=-x^2+x+19+80
<span>
</span>
x=-x^2+x+99
<span>
</span>
0=-x^2+99
<span>
</span>
x^2=99
x=3√11
x=y+80
3√11=y+80
minus 80 both sides
-80+3√11=y
x=3√11
y=-80+3√11
solution
(x,y)
(3√11,-80+3√11)
Answer: there’s no one question though
Step-by-step explanation: