The graph of the parent quadratic function,f(x)=x^2 , is shifted left 5 units and up 3 units. What is the function written in standard form for the translated parabola?
The parent quadratic function is f(x) = x^2.
To shift the graph to the left 5 units, we subtract 5 from x: f(x - 5).
To shift the graph up 3 units, we add 3 to f(x - 5): f(x - 5) + 3.
Therefore, the function in standard form for the translated parabola is f(x) = (x - 5)^2 + 3.