anonymous
  • anonymous
So I am transforming parent functions to other certain equations that apply to the description, and I'm not sure how to write them out. For example, y= the square root of X, Translate 5 units down; Vertical stretch by a factor of 3/2.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
What do you know to do so far? Any guesses? Parent function is.........
anonymous
  • anonymous
Well for the equation, it's a no go, but the parent funtion is the main function you go off of, like in my example \[ y= \sqrt{x} is the parent function.\]
anonymous
  • anonymous
oops

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anonymous
  • anonymous
I'm sure you know what I means. Haha
anonymous
  • anonymous
y = sqrt(x) Vertical shifts occur when we add/subtract something after the function Vertical stretches/shrinks occur when we mult something time the function. Horizontal shifts occur when we add/subtract from the variable What might you guess now?
anonymous
  • anonymous
I might guess the point on the graph would be pulled down to -5, but still a bit foggy with the vertical stretch.
anonymous
  • anonymous
You have the idea about what happens with the shift. All the point of the parent graph move down 5 to create the new one. y =sqrt(x) -5 The stretch/shrink literally makes every value of the original function larger (stretch) or smaller (shrink). This happens when we mult something times the function. so....
anonymous
  • anonymous
The factor 3/2 \[\frac{ 3 }{ 2 } \times -5\]
anonymous
  • anonymous
Or possibly the other way around.
anonymous
  • anonymous
So close. y = (3/2) sqrt(x) -5 ^ ^ ^ vert stretch/shrink function vertical shift
anonymous
  • anonymous
The trick is being able to do this with a different situation.

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