Given that (-5,9) is on the graph of f(x), find the corresponding point for the function f(-(1)/(4)x).

Question

Given that
`(-5,9)` is on the graph of
`f(x)`, find the corresponding point for the function
`f(-(1)/(4)x)`.

Answer 1

f(-1/4x) is a horizontal expansion by a factor of 4 together with a reflection across the y-axis. When the point (-5, 9) is horizontally expanded by the factor 4 and reflected across the y-axis, it becomes (20, 9).