If you wanted to shift y=-3 (x-2) ^2+1 up4 and left2, what would be the new equation

y = - 3x² + 5

Step-by-step explanation:

The equation of a function is given by y = - 3 (x - 2) ² + 1 ... (1)

Now, if we sift the graph of the above equation upward by 4 units, then y in the equation (1) shall be replaced by (y - 4)

Again, if we sift the graph of the above equation (1) towards left by 2 units, then x in the equation (1) shall be replaced by (x + 2)

Therefore, the final equation will be

(y - 4) = - 3 (x + 2 - 2) ² + 1

⇒ y = - 3x² + 5. (Answer)