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Mathematics 21 Online
OpenStudy (anonymous):

need help with graphhs please anyone

OpenStudy (anonymous):

OpenStudy (anonymous):

@kirbykirby

OpenStudy (anonymous):

does the graph of \(y=x^2+7x+7\) open up or down?

OpenStudy (anonymous):

down :s

OpenStudy (kirbykirby):

the \(x^2\) has a positive constant in front of it (namely \(1\)). Since it's positive, the parabola must open up.

OpenStudy (kirbykirby):

Once you know that, and how to graph the equation of the given line, only one solution will be possible :)

OpenStudy (kirbykirby):

Actually just knowing how to graph the equation of the line in this problem will give you only one answer lol.

OpenStudy (anonymous):

hmm C

OpenStudy (anonymous):

am i wrong? @kirbykirby :(

OpenStudy (kirbykirby):

no that's right :)

OpenStudy (anonymous):

really !! yayy! :D

OpenStudy (anonymous):

can you help me with another

OpenStudy (kirbykirby):

sure

OpenStudy (anonymous):

OpenStudy (kirbykirby):

The easiest way to do this would be to take the first x value, -2, and plug it into the equation of a), and verify if it equals -7 (the y value) Then do the same for the next x-value, 0, and see if it gives 3 (the y-value) once you plug it in. But doing this blindly for every answer might be long. So an easy shortcut is to look at the x=0 value (the 2nd column). Since this is very easy to evaluate, it should give y=3 in the column, so look at the answers that have a +3 as the constant term (since the x's disappear as x=0). This will only leave 2 choices left to verify!

OpenStudy (anonymous):

A :s

OpenStudy (anonymous):

am i wrong?

OpenStudy (anonymous):

@kirbykirby

OpenStudy (kirbykirby):

yup looks good :)

OpenStudy (anonymous):

yay!!!

OpenStudy (anonymous):

OpenStudy (anonymous):

@kirbykirby

OpenStudy (kirbykirby):

One way to do this ... for the vertex of the parabola.. if you just have an \(x^2\) term and possibly a coefficient in front of it, then the parabola will have a vertex at (0,0) (this should leave 2 possible answers). If your coefficient is > 1, then you should expect a "squeezed" up looking parabola, but if the coefficient is < 1, then you should expected a "wide" looking parabola. You can check a point on the parabola if it satisfies the equation. Say if x=1, then f(x) = 1/3. Does A satisfy this? no, C? possibly but 1/3 is not an exact coordinate. How about when x=3? then f(x) = 1/3* 3^2 = 1/3*9 = 3, this is satisfied on the graph C

OpenStudy (anonymous):

so C :B

OpenStudy (anonymous):

OpenStudy (kirbykirby):

yes C

OpenStudy (kirbykirby):

Make sure that the negative sign gets distributed across all terms in the parentheses, \((3+i)-(2-2i) =3+i-2+2i\) and then combine like-terms.

OpenStudy (anonymous):

is it A

OpenStudy (anonymous):

o.O am i right kirby

OpenStudy (anonymous):

can it be ( B )

OpenStudy (kirbykirby):

A :)

OpenStudy (anonymous):

yay!! :D

OpenStudy (kirbykirby):

isn't that the same question as before o.O

OpenStudy (anonymous):

is it :o, i put A was that right?

OpenStudy (kirbykirby):

yes

OpenStudy (anonymous):

oh okay, sorry it was this one 0.0

OpenStudy (kirbykirby):

Hm I'm gonna have to go though after my reply. It's very late where I am :S But the quadratic formula for an equation \(ax^2+bx+c=0\) is: \[ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] Your equation is \(-2x^2-5x+5=0\), so plug in into the quadratic formula, using \(a=-2,\,\,b=-5,\,\,c=5\)

OpenStudy (kirbykirby):

Hopefully you can reduce that and obtain one of the answers posted, but I gotta go :o

OpenStudy (kirbykirby):

good luck though!

OpenStudy (anonymous):

thank you, goodnight :)

OpenStudy (anonymous):

i think it C

OpenStudy (anonymous):

ty

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