Answer:
y = 3√(x+3) -2
Step-by-step explanation:
The given points seem to match those of (half) a parabola that opens to the right. The parent function would be ...
x = y^2
or ...
y = √x . . . . . gives the upper half of the parabola only
It seems to have a vertical expansion by a factor of 3 and a translation of the vertex from (0, 0) to (-3, -2). The transformed function is then ...
y = 3√(x +3) -2
_____
We have transformed the parent function using ...
y = a·f(x-h) +k
where a is the vertical expansion factor, h is the horizontal translation, and k is the vertical translation.
