anonymous
  • anonymous
Help with algebra!! Will give medal!!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
2. Heinz has a list of possible functions. Pick one of the g(x) functions below, show how to find the zeros, and then describe to Heinz the other key features of g(x). • g(x) = x3 – x2 – 4x + 4 • g(x) = x3 + 2x2 – 9x – 18 • g(x) = x3 – 3x2 – 4x + 12 • g(x) = x3 + 2x2 – 25x – 50 • g(x) = 2x3 + 14x2 – 2x – 14
anonymous
  • anonymous
@butterflydreamer why do you keep coming here and leaving???
butterflydreamer
  • butterflydreamer
LOOOOL because i want to help xD BUT i'm not that great at this -.-

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anonymous
  • anonymous
Haha its fine, I was just like "the heck is she doing leaving and coming?" Well do you have anyone you know who can help me?
butterflydreamer
  • butterflydreamer
sorrry xD I'm pretty sure the qualified helpers can help :) Firstly you should choose one of the g(x) functions to use
butterflydreamer
  • butterflydreamer
for the first part, when you want to find the 0's, you set g(x) = 0... then factorise and solve for x. So e.g. if you use the first one: g(x) = x^3 - x^2 - 4x + 4 \[g(x) = x^3 - x^2 -4x + 4 \rightarrow x^3 - x^2 - 4x + 4 = 0 \]
butterflydreamer
  • butterflydreamer
you can factorise that to get: |dw:1436366996300:dw|
anonymous
  • anonymous
Ok
anonymous
  • anonymous
@butterflydreamer so the answer is x= +-2,1
butterflydreamer
  • butterflydreamer
hmm yeah, but only if YOU choose to use the first equation. I'd suggest you pick a different one on your own though :)
anonymous
  • anonymous
@butterflydreamer here is the other question. 3. Provide a rough sketch of g(x). Label or identify the key features on the graph.
butterflydreamer
  • butterflydreamer
when you identify the zeros of a function, the values of x will be your x-values when y = 0. So basically, when g (x) = 0 , x = -2 , + 2 , 1 Note: (-2, 0) , (2, 0), (1,0) are your x-intercepts basically. looking at your relation: \[g(x) = x^3 - x^2 - 4x+ x \] Can you see that your relation is a cubic? Since the highest degree is 3. Also note how x^3 is POSITIVE and not -x^3. So it's positive curve.
anonymous
  • anonymous
Ok. So I how would I do the graph though? I will have to use a curved line correct?
butterflydreamer
  • butterflydreamer
so try to graph it.. knowing that it is: - a positive cubic curve - has 3 x-intercepts at ( -2, 0) , (2, 0), (1, 0) OH i forgot, also work out your y-intercept :) so when x = 0 , y= ? to do this we have : y = x^3 - x^2 - 4x + 4 so set x = 0 and we get \[y = (0)^3 - (0)^2 - 4(0) + 4 = ? \] TO SUMMARISE. To sketch a cubic: 1. identify if it is a positive/negative cubic curve (ask yourself if x^3 is + / -) 2. find x-intercepts (set y = 0) 3. find y-intercept (set x = 0) |dw:1436369493931:dw|
anonymous
  • anonymous
Ok I think I get it. Thank you so very much!!!
butterflydreamer
  • butterflydreamer
you're welcome :) hope it was helpful LOLLL (i tried xD)
anonymous
  • anonymous
Well I do I have one last one. Sorry! I didn't see it lol. I'll post it see if you can help me with it.
butterflydreamer
  • butterflydreamer
okey dokeyy
anonymous
  • anonymous
4. Esmeralda is graphing a polynomial function as a parabola. Before she begins graphing it, explain how to find the vertex. Make sure you include how to determine if it will be a maximum or minimum point. Use an example quadratic function to help you explain and provide its graph.
butterflydreamer
  • butterflydreamer
okaay, this question is hard for me to explain.. LOL close this question and post it as a new one :) I'm sure many other users will be able to help you :)
anonymous
  • anonymous
OK thank you lotts!!!
butterflydreamer
  • butterflydreamer
noo problem :D

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