SOLUTION: It has a vertex at(-1,-1) and passes the point(0,0) . Find the quadratic function. f(x)=

Algebra ->  Conversion and Units of Measurement -> SOLUTION: It has a vertex at(-1,-1) and passes the point(0,0) . Find the quadratic function. f(x)=       Log On


   

Question 360030: It has a vertex at(-1,-1) and passes the point(0,0) . Find the quadratic function. f(x)=
Answer by robertb(5830) About Me  (Show Source):
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The vertex form of the parabola is y+=+a%28x-h%29%5E2%2Bk, where(h,k) is the vertex of the parabola. By direct substitution, y+=+a%28x--1%29%5E2-1, or
y+=+a%28x%2B1%29%5E2-1. We use the coordinates of the origin (0,0) to solve for a:
0+=+a%280%2B1%29%5E2-1, or
0+=+a-1, or a+=+1.
Therefore the function is f%28x%29+=+%28x%2B1%29%5E2-1, or f%28x%29+=+x%5E2%2B2x.