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Mathematics 18 Online
OpenStudy (anonymous):

What is the range of the graph of y = −3x2 − 6x + 4?

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

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

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

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!!

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

OpenStudy (alekos):

are you there? i'm back online

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