Mathematics
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OpenStudy (anonymous):
What is the range of the graph of y = −3x2 − 6x + 4?
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OpenStudy (anonymous):
Select one:
a. y ≤ −1
b. y ≥ 7
c. y ≤ 7
d. All real numbers
OpenStudy (alekos):
Have you plotted the graph?
OpenStudy (anonymous):
Isnt there an equation where i dont have to graph this
OpenStudy (alekos):
Yes, find the vertex!
OpenStudy (anonymous):
How would i do this
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OpenStudy (alekos):
well the vertex lies on x= -b/2a and the y value that this represents
OpenStudy (anonymous):
6/6?
OpenStudy (alekos):
No, try again
OpenStudy (anonymous):
x= -1?
OpenStudy (alekos):
yeah that's it. now work out the y-value
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OpenStudy (anonymous):
y=19?
OpenStudy (alekos):
No try again carefully
OpenStudy (anonymous):
do i square just the -1? or the 3
OpenStudy (alekos):
3x^2 = 3(-1)^2
OpenStudy (anonymous):
alright so i got positive 7
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OpenStudy (alekos):
That's better! so the vertex is at the point (-1,7)
now this is a parabola so which way does it go from the vertex, upwards or downwards?
OpenStudy (anonymous):
downwards
OpenStudy (alekos):
correct! so what is the range?
OpenStudy (anonymous):
so c
OpenStudy (alekos):
well done!!
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OpenStudy (anonymous):
What is the domain of the graph of y = −2x2 − 8x + 1?
OpenStudy (anonymous):
all i need for this is 2b?2a right
OpenStudy (anonymous):
-b/2a**
OpenStudy (anonymous):
x = 2
OpenStudy (anonymous):
@alekos
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OpenStudy (alekos):
are you there? i'm back online