Question

What transformation can you apply to `y=sqrtx` to obtain the graph `y=sqrt(-2x)-8`?

Answer 1

.Reverse x-axis by `x to -x`, apply the scalar multiple 2 and shift

the origin to (0, -8). In brief, `(x, y) to (-2x, y+8)`

Explanation:

Reverse x-axis by `x to -x`, apply the scalar multiple 2 and shift

the origin to (0, -8).

Now, `y = sqrtx` transforms to `y = sqrt(-2x)-8`, referred to the new

axes.

The two graphs reveal the process in the transformation that incides

x-scaling by the factor 2.

graph{xy(y-sqrtx)=0 [-10, 10, -5, 5]}

graph{-(y+8)(y-sqrt(-2x)+8)=0x^2 [-20, 20, -10, 10]}

.