Mathematics
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OpenStudy (jkbo):
Please Help
which of the following is the minimum value of the equation y=2x^2+5
A.0
B.2
C.5
D.-5
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OpenStudy (zzr0ck3r):
when dealing with a quadratic, we know the min (when the x^2 terms Is positive) is given by
x = -b/(2a)
where a,b c are ax^2+bx+c
OpenStudy (zzr0ck3r):
or take the derivative. what class is this for?
OpenStudy (jkbo):
this is for alg.2
OpenStudy (zzr0ck3r):
ok use my first reply
OpenStudy (zzr0ck3r):
what does a=?
what does b = ?
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OpenStudy (jkbo):
a is 2 Im not sure about B.
OpenStudy (zzr0ck3r):
b is gone, so b = 0
OpenStudy (zzr0ck3r):
so min x = -b/(2a) = ?
OpenStudy (jkbo):
so its zero because 2(2) is 4 / 0 is 0
OpenStudy (zzr0ck3r):
correct, x =0
but we want the min VALUE, value=y
we know the min is AT x=0
so plug in x=0 to the original function and what do you get?
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OpenStudy (jkbo):
5?
OpenStudy (zzr0ck3r):
correct
OpenStudy (jkbo):
thank you
OpenStudy (zzr0ck3r):
so if we ask WHERE is the min value, we want an x
if we ask WHAT Is the min value we want a y
OpenStudy (jkbo):
Thank you can you also help me solve one more problem?
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OpenStudy (zzr0ck3r):
sure
OpenStudy (jkbo):
Identify the axis of symmetry of the parabola.
A.x=5
B.x=4
C.x=6
D.X=3
OpenStudy (zzr0ck3r):
wait, first off.
up there ^^^^ on the last question
you wrote x=0 because 2*2 = 4/0 =0
OpenStudy (zzr0ck3r):
this is not why x=0
x = -b/(2a) = -0/(2*2) = -0/4 = 0/4 = 0
OpenStudy (zzr0ck3r):
4/0 does not make sense
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OpenStudy (zzr0ck3r):
a = 2, b = 0
\[x=\frac{-b}{2a}= \frac{-0}{2*2}=\frac{0}{4}=0\]
OpenStudy (zzr0ck3r):
understand?
OpenStudy (jkbo):
yes
OpenStudy (zzr0ck3r):
ok onto the next equation
OpenStudy (zzr0ck3r):
question*
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OpenStudy (zzr0ck3r):
its the line down the middle
what x value is that?
OpenStudy (zzr0ck3r):
down the middle of the porabolla
OpenStudy (zzr0ck3r):
parabola*
OpenStudy (jkbo):
4
OpenStudy (zzr0ck3r):
yep
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OpenStudy (jkbo):
would that be the answer?
OpenStudy (zzr0ck3r):
yeah
OpenStudy (jkbo):
Thank you