The graph of ( f(x) = 3x^2 + 4 ) is a transformation of its parent function ( g(x) = x^2 ). It is vertically stretched by a factor of 3 due to the coefficient in front of ( x^2 ), making it narrower than the parent graph. Additionally, the graph is shifted upward by 4 units because of the constant term, which raises the entire parabola without altering its shape. Overall, these transformations result in a steeper parabola that opens upwards and is positioned higher on the y-axis.
It is (0, -2).
Probably g(x) = f(x) - 6 but it is difficult to be sure. Limitations of the browser used by Answers.com means that we cannot see most symbols.
I am not entirely sure what the equation is supposed to be. However, to translate something 4 units up (4 units in the y-direction), simply replace every "y" in your equation by "y - 4". Simplify the result if you want.
the domain is all real numbers and the range is all real numbers the domain is all real numbers and the range is all real numbers