The parabolas with respect to their positions are y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)
How to arrange the parabolas?
The parent function is given as:
f(x) = x^2
The parabolas are given as:
y = f(x - 4), y = f(x + 3), y = f(x - 7), y = f(x + 2) and f = (x - 1/2)
The transformation from the parent function to each of the parabola is a horizontal translation.
This means that the y coordinate of their vertices are the same.
Arrange the parabolas starting from the left translations
y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)
Hence, the parabolas with respect to their positions are y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)
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