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.Com
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)   (Show Source): You can put this solution on YOUR website!

 represents a parabola with vertex at (, ), that opens .
If we translate this graph units to the , then will be:
.
If we translate the graph of   units , then will be:

If we translate the graph of   units , then will be:

If we translate the graph of   units to the and units , then will be:

If we translate the graph of   units to the and units , then will be:



RELATED QUESTIONS

f(x)=x^2 g(x)=(x+4)^2-1 We can think of g as a translated (shifted) version of f.... (answered by Boreal,Theo)
Let f(x)= 2|x| If g(x) is the graph of f(x) shifted left 4 units, write a formula for (answered by Boreal)
Exercises for Part I of Supplement 2 on Transformations of Functions Page 20 (answered by ikleyn)
The graph of g(x) is f(x) translated to the left 8 units and up 2 units. What is the... (answered by josmiceli)
Consider the graph of g (x) = x^2 Use transformations to write an equation for each of... (answered by lwsshak3)
Please help me solve this problem: Consider the function f(x) = x^3 and the function... (answered by Fombitz)
The graph of f(x) = x^2 was translated 0.5 units to the left to create the graph of... (answered by ikleyn)
Consider {{{g(x) = (x + 2)^3 + 2}}}; what is the new equation for {{{g(x)}}} if it is... (answered by Edwin McCravy)
Which answer describes the transformation of f(x) = log2(x-5)-2 from the parent function... (answered by MathLover1)