SOLUTION: For each of the following functions, i) describe the transformations compared to y = x2, il) graph the function by making a table of values a. y = (x + 3)2-2

Algebra ->  Finance -> SOLUTION: For each of the following functions, i) describe the transformations compared to y = x2, il) graph the function by making a table of values a. y = (x + 3)2-2      Log On


   

Question 1202230: For each of the following functions, i) describe the transformations compared to y = x2,
il) graph the function by making a table of values
a. y = (x + 3)2-2
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39626) About Me  (Show Source):
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Moved three units to the left and two units downward


You can make a table of values yourself.


Those two functions
graph%28300%2C300%2C-8%2C8%2C-8%2C8%2Cx%5E2%2C%28x%2B3%29%5E2-2%29
and you recognize which is which?

Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
.

First transformation is moving the parabola left 3 units.


It transforms the original parabola y = x^2 into 

     y = (x+3)^2.    (1)



Second transformation is moving the parabola  (1)  two units down.


It transforms the parabola (1) into the final parabola

     y = (x+3)^2-2.    (2)

Solved, with complete explanations.