SOLUTION: Describe the transformations applied to the graph of y=x^2 to obtain the function f(x) = -3(x-2)^2+5 . Sketch it.

Algebra ->  Graphs -> SOLUTION: Describe the transformations applied to the graph of y=x^2 to obtain the function f(x) = -3(x-2)^2+5 . Sketch it.       Log On


   



Question 1173302: Describe the transformations applied to the graph of y=x^2 to obtain the function f(x) = -3(x-2)^2+5 . Sketch it.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=x^2 has its vertex at the origin.
moving the vertex 2 units to the right and 5 units up, followed by a negative quadratic with compression 3 will produce the function needed.
graph%28300%2C300%2C-5%2C5%2C-10%2C20%2Cx%5E2%2C%28x-2%29%5E2%2C-3%28x-2%29%5E2%2B5%29