anonymous
  • anonymous
True or False In a quadratic function written in the vertex form y= a (x-h)^2+k, an increase in the value of h move the parabola to the right of the cartesian plane
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
remember (h, k) is the vertex|dw:1377953381410:dw|
anonymous
  • anonymous
tell me if I am not clear with an "@" thing
anonymous
  • anonymous
i dont get it

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anonymous
  • anonymous
one second.
anonymous
  • anonymous
|dw:1377953574585:dw|
anonymous
  • anonymous
sorry you can't read that, I will write those words down here.
anonymous
  • anonymous
|dw:1377953706591:dw|
anonymous
  • anonymous
I'm thinking that its false right?
DebbieG
  • DebbieG
Compare: \(y=x^2\) (h=0) to \(y=(x-1)^2\) (h=1) What happens to the position of the parabola in the plane?
DebbieG
  • DebbieG
Remember what h is: it is the x-coordinate of the vertex. So if you increase that and don't change anything else, what happens to the parabola?
anonymous
  • anonymous
the parabola goes upward
DebbieG
  • DebbieG
if you increase the \(\Huge \color{red} {\text{x-coordinate}}\) of the vertex????
DebbieG
  • DebbieG
Where is the point (0,0) vs. the point (5,0)?
anonymous
  • anonymous
the parabola would go downward @DebbieG right?
DebbieG
  • DebbieG
Where is the point (5,0) compared to the point (0,0)? Is (5,0) directly above, below, to the right or to the left of (0,0)?
anonymous
  • anonymous
to the right
anonymous
  • anonymous
im confuse
DebbieG
  • DebbieG
ok, GOOD. So when you increase the x-coordinate of a point, that point moves to the right. Now apply that to your problem. Do you know how to get the coordinates of the vertex, from the vertex form? If \(\Large y= a (x-h)^2+k\) then WHAT is the vertex?
DebbieG
  • DebbieG
if \(\Large y= (x-1)^2+3\) then what is the vertex?
anonymous
  • anonymous
yes i know how to get the coordinates
DebbieG
  • DebbieG
OK, then what happens if you INCREASE h?
DebbieG
  • DebbieG
What is the vertex of: \(\Large y= (x-1)^2+3\) vs. What is the vertex of: \(\Large y= (x-2)^2+3\) In the 2nd one, I've INCREASED h from 1 to 2. What happened to the vertex? where did it go?
anonymous
  • anonymous
1,3 is the coordinates
anonymous
  • anonymous
it also increases its value
DebbieG
  • DebbieG
I don't know what "it also increases its value" means. A vertex doesn't have a "value". It's coordinates do. So the question I'm asking is, what HAPPENS to the vertex, e.g., where does it go, as I increased h from 1 to 2..... did the vertex (and hence, the graph of the parabola) move to the right, the left, up or down?
anonymous
  • anonymous
to the right
DebbieG
  • DebbieG
You are correct that (1, 3) is the vertex in the first equation. What is the vertex in the 2nd equation? and where is that point, relative to (1, 3)? CORRECT. So an increase in h, moved the parabola...... to the right! :)
anonymous
  • anonymous
so the answer is true?
DebbieG
  • DebbieG
What do you think? :)
DebbieG
  • DebbieG
We just showed that, didn't we? ;)
anonymous
  • anonymous
thanks
DebbieG
  • DebbieG
You're welcome. :)

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