To determine the parent function and the equation of the transformed function, we first need to identify the parent function for a parabola, which is typically represented as:
Parent function: \( y = x^2 \)
Next, to find the transformed function, we look for changes that have been applied to the parent function, such as translations or reflections.
From the options provided and given that there is a "+2" involved, we can deduce that if the graph is shifted to the left by 2 units, the transformed function would be:
Transformed function: \( y = (x + 2)^2 \)
This implies that the correct response would be:
The parent function is \( y = x^2 \). The equation of the transformed function is \( y = (x + 2)^2 \).
Thus, the correct choice is:
The parent function is y=x². The equation of the transformed function is y=(x+2)².