donnie1999
  • donnie1999
-------- WILL MEDAL -------- -------- HELP PLEASE -------- Determine in which direction the parabola below opens. y = x^2 - 7x + 18
Mathematics
jamiebookeater
  • jamiebookeater
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donnie1999
  • donnie1999
butterflydreamer
  • butterflydreamer
to be honest, you can just focus on the "y = x^2......." part :) If you know what your general parabola looks like, y = x^2 -7x + 18 will be the same in the way it opens but the vertex and intercepts will be different :) Here's a comparison: |dw:1436878515043:dw|
butterflydreamer
  • butterflydreamer
i like to think of y = x^2 as a happy face :) and y = -x^2 as a sad face :( |dw:1436878729051:dw|

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donnie1999
  • donnie1999
Im still kinda confused can you please explain it a little more please.
UsukiDoll
  • UsukiDoll
@butterflydreamer can't we also think of that graph as a reflection as well ? x^2 is the parabola.. and -x^2 is a reflection of x^2 ?
UsukiDoll
  • UsukiDoll
|dw:1436878884202:dw|
UsukiDoll
  • UsukiDoll
my drawing... bad I know T_T
butterflydreamer
  • butterflydreamer
yeeees you can :) It's the sameeee thing ^_^
butterflydreamer
  • butterflydreamer
@donnie1999 what don't you understand?
donnie1999
  • donnie1999
Wait I think I got it, if the x variable is positive does the parabola open upward?
butterflydreamer
  • butterflydreamer
CORRECT :D!
butterflydreamer
  • butterflydreamer
x^2 is POSITIVE ---> open upward -x^2 is NEGATIVE ----> open downward
UsukiDoll
  • UsukiDoll
AH! I am stuck on reply !
butterflydreamer
  • butterflydreamer
|dw:1436879145093:dw|