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Mathematics 19 Online
OpenStudy (anonymous):

F(x)=9-8x-x^2..?

OpenStudy (anonymous):

What you want to do with F(x)??

OpenStudy (anonymous):

How do you find the vertex, its domain and range, and x-intercepts?

OpenStudy (anonymous):

See, x intercept you can find by putting F(x) = 0 and then find the value of x. I don't know about the others.. Others will definitely help you in finding them..

OpenStudy (anonymous):

can you identify a, b, and c when you write the function in this form: \[\huge f(x)=ax^2+bx+c \]

OpenStudy (anonymous):

when you do, the x-coordinate of the vertex is obtained by: \[\huge x=-\frac{b}{2a} \]

OpenStudy (anonymous):

to get your y-coordinate of the vertex, just plug that value in to f.., that is, find the value of \[\huge f(\frac{-b}{2a}) \]

OpenStudy (anonymous):

Is x 4/9? @dpaInc

OpenStudy (anonymous):

nope.. a = b = c =

OpenStudy (anonymous):

a is -1 and b is -8, and c is 9?

OpenStudy (anonymous):

4?

OpenStudy (anonymous):

yes... so, \[\huge x=-\frac{b}{2a}=-\frac{(-8)}{2(-1)}=...\]

OpenStudy (anonymous):

yes.... x=4..

OpenStudy (anonymous):

what's the y-value?

OpenStudy (anonymous):

How do you know what the y-value is? Sorry, I'm not good with this stuff

OpenStudy (anonymous):

y = f(4)

OpenStudy (anonymous):

y = f(4) = \(\large 9-8(4)-(4)^2 \)=

OpenStudy (anonymous):

-39?

OpenStudy (anonymous):

so the point (4, -39) is your vertex...

OpenStudy (anonymous):

now which way does this parabola open?

OpenStudy (anonymous):

that's determined by the "a" coefficient... if a>0, opens up... if a<0, opens down.

OpenStudy (anonymous):

So do you need to use the vertex formula?

OpenStudy (anonymous):

no... you can just use the "a" from what I wrote above....

OpenStudy (anonymous):

is "a" positive or negative?

OpenStudy (anonymous):

What is a? Is it 4 or -39??

OpenStudy (anonymous):

a is the coefficient of the x^2 term...

OpenStudy (anonymous):

16?

OpenStudy (anonymous):

remember when i asked a = b = c = ?? what did you have for a?

OpenStudy (anonymous):

1

OpenStudy (anonymous):

a is positive.

OpenStudy (anonymous):

look again... you told me a=-1....

OpenStudy (anonymous):

I'm sorry, yes, it's a negative.

OpenStudy (anonymous):

since a<0, the parabola opens downward....

OpenStudy (anonymous):

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