Help in graphing! (MEDAL!!!)
f(x) = -(x - 1)^2 + 4
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OpenStudy (calculusxy):
\[\large f(x) = -(x - 1)^2 + 4\]
OpenStudy (calculusxy):
@Nnesha
Nnesha (nnesha):
what's the vertex point ?
OpenStudy (calculusxy):
I couldn't figure that out.
Nnesha (nnesha):
alright \[\huge\rm y=a(x-h)+k\] vertex form of quadratic equation
where (h,k) is the vertex and a tells us whether the graph opens up or down
if a is negative then opens down (vertex = maximum point )
if a is positive then opens up (vertex=minimum point )
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Nnesha (nnesha):
a=leading coefficient
OpenStudy (calculusxy):
And how do I figure out the vertex?
Nnesha (nnesha):
there is a typo wait
Nnesha (nnesha):
i meant to type this \[\huge\rm y=a(x-h)^{\color{Red}{2}}+k\]
OpenStudy (calculusxy):
How do i figure out the vertex?
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Nnesha (nnesha):
what number is replaced by h and k in ur equation ?
OpenStudy (calculusxy):
1 and 4
OpenStudy (calculusxy):
so (1,4) is the vertex?
Nnesha (nnesha):
that's correct
OpenStudy (calculusxy):
for the other points, do i just plot those points in to \(\large -(x-1)^2 + 4\) ?
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Nnesha (nnesha):
that's the maximum point now find x-intercept and y-intercept
make a table |dw:1448051448970:dw|
now just y values when x = 0 ,1,2,3