SOLUTION: Could you please help me with this transformation? Let the graph of g be a vertical stretch by a factor of 3, followed by a translation of 5 units up from the graph of f(x)=

Algebra ->  Graphs -> SOLUTION: Could you please help me with this transformation? Let the graph of g be a vertical stretch by a factor of 3, followed by a translation of 5 units up from the graph of f(x)=      Log On


   

Question 1191589: Could you please help me with this transformation?


Let the graph of g be a vertical stretch by a factor of 3, followed by a translation of 5 units up from the graph of f(x)=x^2. Write a rule for g.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Let the graph of g be a vertical stretch by a factor of 3, followed by a translation of+5 units up from the graph of f%28x%29=x%5E2

g(x) = a(x -h)^2 + k
horizontal stretch (away from y-axis) when 0+%3C+a+%3C+1
horizontal shrink (toward y-axis) when a+%3E+1
vertical stretch (away from x-axis) when a+%3E+1
vertical shrink (toward x-axis) when+0+%3C+a+%3C+1
shifts left when h+%3C+0
shifts right when+h+%3E+0
shifts down when k+%3C+0
shifts up when k+%3E+0

so, you are given: +a=3 and k=5
g%28x%29+=3x%5E2%2B5


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3x%5E2%2B5%2C+x%5E2%29+