Final answer:
The shape described by the equation y = x², but upside-down and shifted right 2 units and up 3 units, can be represented by the equation y = -(x - 2)² + 3.
Step-by-step explanation:
The shape described by the equation y = x², but upside-down and shifted right 2 units and up 3 units, can be represented by the equation y = -(x - 2)² + 3.
This is a quadratic equation in vertex form. The negative sign in front of the equation flips the parabola upside-down. Shifting the parabola right 2 units and up 3 units is done by subtracting 2 from the x-coordinate and adding 3 to the y-coordinate of the vertex.
For example, if the original vertex of the parabola were (0, 0), the new vertex after the transformation would be (2, 3).