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Mathematics 8 Online
OpenStudy (anonymous):

Would the vertex of the quadratic equation y=4x^2+8x+1 be (-1,9)?

OpenStudy (saifoo.khan):

Use -b/(2a) to find it.

OpenStudy (anonymous):

Well, yeah, I did that is my answer right? When I did that I got x= -1

OpenStudy (saifoo.khan):

-1 is correct. Now insert -1 in the equation to get the value for y.

OpenStudy (anonymous):

I did but I feel like I got the y part wrong

OpenStudy (saifoo.khan):

You are correct. you should get -3. which is correct. So, this is NOT the vertex.

OpenStudy (anonymous):

Would it be 3?

OpenStudy (anonymous):

I mean -3 and thanks!

OpenStudy (saifoo.khan):

Correct.

OpenStudy (anonymous):

What would the x intercepts be?

OpenStudy (saifoo.khan):

When x-intercept, y = 0 y=4x^2+8x+1 0=4x^2 + 8x + 1

OpenStudy (anonymous):

then the next step is to subtract 1 from both sides right?

OpenStudy (saifoo.khan):

Nope, factor or use the quadratic formula.

OpenStudy (anonymous):

oh.

OpenStudy (anonymous):

So (2x ) (2x )

OpenStudy (saifoo.khan):

yes..

OpenStudy (anonymous):

but what when multiplied is 1 and when added is 8

OpenStudy (anonymous):

I can't think of anything

OpenStudy (saifoo.khan):

4x^2 + 8x + 1 4x^2 + 4x + 4x + 1

OpenStudy (anonymous):

why did you do that?

OpenStudy (anonymous):

OH I remember!!

OpenStudy (saifoo.khan):

ok, cool. ;D

OpenStudy (anonymous):

Alright let me try this one :p Um. I rmember what you do kins but not the exact steps

OpenStudy (anonymous):

I skippped thorugh this unit and now im paying the price lol. I am a straight A student I just kinda was lazy with note taking, hw, ect and I dont really remember

OpenStudy (saifoo.khan):

lol.

OpenStudy (saifoo.khan):

4x^2 + 8x + 1 a= 4 b= 8 c = 1 a*c = 4 b = 8 Now we need two terms to which when we multiply we get 4 and when we add we get 8.

OpenStudy (saifoo.khan):

wait. i just found out this cannot be factorized. lol @StealerGirly50

OpenStudy (anonymous):

okay I cant think of anything. To get four while multiplying you can have 1 and 4 which adds to 5, 2 and 2 which adds to 4

OpenStudy (saifoo.khan):

i have taught people from flvs. it's easyyy

OpenStudy (saifoo.khan):

we will use Quadratic formula now.

OpenStudy (anonymous):

okay whats the formula? I am so mad at myself! ugh! School is so freaking easy and I screwed up just for one unit now I have to relearn everything :/

OpenStudy (saifoo.khan):

Here it is, http://2.bp.blogspot.com/_9xX2yNGJA4E/TPm214sFVjI/AAAAAAAAADI/nVLP-mPhYCM/s1600/QuadraticFormula.JPG i helped a girl she failed her algebra 3 times! D: I helped her and she passed. ;D

OpenStudy (anonymous):

I tutored people in algebra before beleive it or not. I catch on quick in school but now that i tried online second semester you can kinda skip through everything cause the quzzes are super easy so i kinda slacked lol

OpenStudy (saifoo.khan):

that's cool. haha @slacked.

OpenStudy (anonymous):

-8+ square root of 8^2-4(4)(1) _______________________________ 2(4)

OpenStudy (anonymous):

-8 + square root of 64-16 _______________________________ 8

OpenStudy (anonymous):

-8 + sqr root of 48 ______________________ 8

OpenStudy (anonymous):

there is no even sqr root of 48 though....

OpenStudy (saifoo.khan):

use calc. you will get value in decimals.

OpenStudy (anonymous):

okay let me find it real quick

OpenStudy (saifoo.khan):

Sure.

OpenStudy (anonymous):

-8 +6.928203230275509 _____________________________ 8

OpenStudy (saifoo.khan):

you should get, -1.87, -0.13

OpenStudy (anonymous):

I didnt lol

OpenStudy (anonymous):

what did I do wrong

OpenStudy (anonymous):

?

OpenStudy (saifoo.khan):

i just checked, you are doing correctly.. must have inserted wrong values in calc.

OpenStudy (anonymous):

oh yay your calculator must of rounded cause I got -.1339745962155614

OpenStudy (saifoo.khan):

lol, i rounded by myself.

OpenStudy (anonymous):

so what do I do after I get the -.13

OpenStudy (saifoo.khan):

that's the answer.

OpenStudy (anonymous):

how did you figue -1.87?

OpenStudy (anonymous):

*figure

OpenStudy (saifoo.khan):

umm, we had two equations.

OpenStudy (saifoo.khan):

solve another 1.

OpenStudy (anonymous):

oh duh sorry im tired lol. ok I got it yayy

OpenStudy (saifoo.khan):

Lol, congrats.

OpenStudy (anonymous):

I had one more question: Part 1: Solve each of the quadratic equations below. Show your work. (3 points) x2 − 25 = 0 and x2 = 2x + 15 Part 2: Describe what the solution(s) represent to the graph of each. (2 points) Part 3: How are the graphs alike? How are they different? (2 points) (7 points) I solved everything except part 2

OpenStudy (anonymous):

How do I do part 2

OpenStudy (saifoo.khan):

Use the dicriminant, b^2-4ac to find out.

OpenStudy (anonymous):

HOw does that describe what the solutions represent to the graph?

OpenStudy (saifoo.khan):

is it's less than zero = imaginary solutions if it's zero = equal solutions if it's greater = two real solutions

OpenStudy (anonymous):

okay thanks i pretty much had to relearn everything in this unit before my eoc exam thanks!

OpenStudy (saifoo.khan):

Welcome! :D

OpenStudy (anonymous):

two real solutions!

OpenStudy (anonymous):

cause its 16

OpenStudy (saifoo.khan):

Ok, perfect.

OpenStudy (anonymous):

thanks bye

OpenStudy (anonymous):

:)

OpenStudy (saifoo.khan):

Welcome. Byeee.

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