anonymous
  • anonymous
need to determine whether the graph of this equation opens upward or downward
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[y=(x-4)^{2}+5\]
anonymous
  • anonymous
what equation?
anonymous
  • anonymous
what class is this for?

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anonymous
  • anonymous
college algebra
anonymous
  • anonymous
can you expand the right hand side?
anonymous
  • anonymous
yes
anonymous
  • anonymous
up
anonymous
  • anonymous
For polynomials, the sign of the coefficient determines what way it opens.
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=(x-4)^2%2B5
anonymous
  • anonymous
you sure she knows which coefficient you are talking about? and is that an answer for college algbra? =/
anonymous
  • anonymous
My bad, the leading coefficient.
anonymous
  • anonymous
The graph is shifted units to the right, 5 units up and vertically stretched by a factor of 2
anonymous
  • anonymous
I don't understand what astyria is asking? but thanks guys. I just wasn't sure if theres an easy way to tell from looking
anonymous
  • anonymous
The graph is shifted 4 units to the right, 5 units up and vertically stretched by a factor of 2
anonymous
  • anonymous
if i were you mary, I would plot some points (that's probably what you guys are learning)...i'm not sure if what cyter says makes sense to you...good luck
anonymous
  • anonymous
Yeah, the graph someone attached helped. Thanks everyone
anonymous
  • anonymous
take the second derivative of y or d²y/dx², if its positive, then the graph is concave up on an arbitrary interval (a,b)
anonymous
  • anonymous
Cyter that is calculus. She is in college algebra.
anonymous
  • anonymous
i now have to determine whither this point is wider or narrower. \[y=(x-4)^{2}+5\]
anonymous
  • anonymous
The utmost easiest way to determine whether a graph of a polynomial opens up or down is to look at the leading coefficient, which is the coefficient in front of the x^2. If that coefficient is positive the graph opens up, if negative it opens down.
anonymous
  • anonymous
oh ok. oops i typed the same problem. this is the equation I need to figure out if it is wider or narrower than the previous one..\[y=2(x-4)^{2}\]
anonymous
  • anonymous
i think it's narrower
anonymous
  • anonymous
The higher the magnitude of the coefficient, the narrower the graph is. You are correct.

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