SOLUTION: Graph function using the techinique of shifting, compressing, strecthing and /or reflecting f(x)=5(x+4)^2+1

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Question 752927: Graph function using the techinique of shifting, compressing, strecthing and /or reflecting
f(x)=5(x+4)^2+1
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Graph function using the techinique of shifting, compressing, strecthing and /or reflecting
f(x)=5(x+4)^2+1
One important thing to remember in these problems is that 
we must shift vertically UP or DOWN last.

We start with

y = x2
graph%28200%2C200%2C-7.5%2C2.5%2C-5%2C5%2Cx%5E2%29

Then we stretch it vertically by a factor of 5 by multiplying
the right side by 5 and we get

y = 5x2
graph%28200%2C200%2C-7.5%2C2.5%2C-5%2C5%2C5x%5E2%29

Then we shift it horizontally to the left four units by 
replacing x by (x+4) in the right side and we get:

y = 5(x+4)2
graph%28200%2C200%2C-7.5%2C2.5%2C-5%2C5%2C5%28x%2B4%29%5E2%29

Then finally we shift it vertically up by 1 unit by adding 1 
to the right side.:

y = 5(x+4)2+1
graph%28200%2C200%2C-7.5%2C2.5%2C-5%2C5%2C5%28x%2B4%29%5E2%2B1%29

And that is the graph of

f(x) = 5(x+4)2+1

Edwin