Final answer:
To transform from the parent function, y = ax + bx², we need to determine the values of a and b in the given equation, y = -1/2(x-1)²+3. The value of a determines the slope of the parabola, while the value of b determines the concavity of the parabola.
Step-by-step explanation:
To transform from the parent function, y = ax + bx², we need to determine the values of a and b in the given equation, y = -1/2(x-1)²+3. The value of a determines the slope of the parabola, while the value of b determines the concavity of the parabola.
In the given equation, a = -1/2, which means the parabola opens downward. The value of b is 1, which means the parabola is relatively narrow. By transforming the parent function, we can determine the shape and position of the graph.