Final answer:
The equation of the standard quadratic function shifted 3 units left and 4 units up is y = (x + 3)² + 4.
Step-by-step explanation:
To find the equation of the standard quadratic function shifted 3 units left and 4 units up, we need to start with the equation of the standard quadratic function which is y = x². Shifting the function 3 units to the left means replacing x with (x + 3). Shifting it 4 units up means adding 4 to the entire equation.
So, the equation of the shifted function is y = (x + 3)² + 4.
The equation of the standard quadratic function x² when shifted 3 units left and 4 units up is given by (x+3)²+4. To shift the graph 3 units left, we replace x with (x+3). To shift the graph 4 units up, we add 4 to the entire function. Therefore, the new equation of the shifted function is (x+3)²+4.