What value represents the vertical translation from the graph of the parent function f(x) = x^2 to the graph of the function g(x) = (x + 5)^2 + 3?
If I am correct, the vertical displacement is 3 and the horizontal displacement is 5.
Please double check this answer.
Change that: The horizontal displacement is -5.
The qty (X + 5) is the independent variable. X + 5 = 0 when x = -5, hence the "origin" is displaced to the left.
In your other problem, the qty
(x -4) is the indep. var. x - 4 = 0 when x = +4.
If correct, these problems are asking how the origin is displaced from that of the parent function, which, in each case, has origin (0, 0).
this was no HELP
To determine the value that represents the vertical translation from the graph of the parent function f(x) = x^2 to the graph of the function g(x) = (x + 5)^2 + 3, we need to examine the transformation that occurred.
The general form of the quadratic function is f(x) = a(x-h)^2 + k, where (h,k) represents the vertex or the point of translation.
In the given function g(x) = (x + 5)^2 + 3, we can observe that the vertex has shifted 5 units to the left and 3 units up. The "+ 5" in the function represents the horizontal translation, and the "+ 3" represents the vertical translation.
Therefore, the value that represents the vertical translation from the graph of the parent function f(x) = x^2 to the graph of g(x) = (x + 5)^2 + 3 is +3 units.