Question

Describe the transformations from the parent function,

Answer 1

The transformation of the parent function is shown in blue

Answer 2

i think you missed details

Answer 3

@supie

Answer 4

The parent function would be f(x) = x^2 where the vertex would be (0, 0)
Let's call the function we're transforming g(x). And we can move the graph left/right or up/down.

To shift the graph left by h units, you would have \( g(x) = f(x+h) = (x+h)^2 \)
To shift the graph right by h units, you would have \( g(x) = f(x-h) = (x-h)^2 \)

To shift the graph UP by k units, you would have \( g(x) = f(x) + k = x^2 + k\)
To shift the graph DOWN by k units, you would have \( g(x) = f(x) - k = x^2 - k\)