Elenathehomeschooler
  • Elenathehomeschooler
Someone please help! Write a function for the graph described as a transformation of y=x^2 . 12. y=x^2 experiences a vertical stretch of factor 2 and then a shift right of 3 units.
Mathematics
chestercat
  • chestercat
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jim_thompson5910
  • jim_thompson5910
|dw:1443826116841:dw|
jim_thompson5910
  • jim_thompson5910
ok so we have the parent function y = x^2 |dw:1443826223302:dw|
jim_thompson5910
  • jim_thompson5910
we know that "a vertical stretch of factor 2" is applied to this parent function what this does is basically make the graph twice as tall. In terms of the equation, we simply just multiply the x^2 by 2 |dw:1443826284551:dw|

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jim_thompson5910
  • jim_thompson5910
IF it were something like "vertical stretch by a factor of 9", then we'd have y = 9x^2
jim_thompson5910
  • jim_thompson5910
let's copy y = 2x^2 to the next line |dw:1443826332751:dw|
Elenathehomeschooler
  • Elenathehomeschooler
oh that is so simple
jim_thompson5910
  • jim_thompson5910
yeah it's not too bad
jim_thompson5910
  • jim_thompson5910
"shift right of 3 units" means we replace EVERY x with x-3 |dw:1443826400885:dw|
jim_thompson5910
  • jim_thompson5910
notice how I'm using parenthesis
Elenathehomeschooler
  • Elenathehomeschooler
Hey sorry my computer is giving me problems
jim_thompson5910
  • jim_thompson5910
it's fine
Elenathehomeschooler
  • Elenathehomeschooler
I think I get it. So would that be the answer ?

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