SOLUTION: Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis. g(x)=____

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis. g(x)=____       Log On


   



Question 1158539: Function g can be thought of as a translated (shifted) version of f(x)=x^2
Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.
g(x)=____

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E2+ represents a parabola with vertex at (0, 0), that opens up.
If we translate this graph h units to the right, then g%28x%29 will be:
g%28x%29+=+%28x+-+h%29%5E2.
If we translate the graph of  f%28x%29=x%5E2 k units up, then g%28x%29 will be:
g%28x%29=x%5E2+%2B+k
If we translate the graph of  f%28x%29=x%5E2 k units down, then g%28x%29 will be:
g%28x%29=x%5E2+-+k
If we translate the graph of  f%28x%29=x%5E2 h units to the left and k units up, then g%28x%29 will be:
g%28x%29=%28x%2Bh%29%5E2+%2B+k+
If we translate the graph of  f%28x%29=x%5E2 h units to the left and k units down, then g%28x%29 will be:
g%28x%29=%28x%2Bh%29%5E2+-+k+