SOLUTION: Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. For example, if you were asked to graph y=x^2+1 usi

Algebra ->  Linear-equations -> SOLUTION: Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. For example, if you were asked to graph y=x^2+1 usi      Log On


   

Question 830533: Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. For example, if you were asked to graph y=x^2+1 using transformations, you would show the graph of y=x^2 and the graph shifted up 1 unit. Please do not show only the final graph.
y=3x^2-42x+149
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the Square to put the equation into standard form, and then you can read the transformations directly from the standard form equation.

Start with y=3%28x%5E2-14x%2B49%29-3%2A49%2B149

Standard Form generally is y=a%28x-h%29%5E2%2Bk.
That would be y=ax%5E2, shifted h units horizontally, shifted k units vertically. Vertex is at (h,k).

See the lesson "What is Completing the Square", linked through my profile.