homeschool0123
homeschool0123 homeschool0123
  • 19-05-2019
  • Mathematics
contestada

The table below shows the values for the function y = f(x).

| x | y |
-4 7
-1 -2
0 3
3 -4
6 5

Complete the table for the function y = f(1/5x).

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 19-05-2019

Answer:

(x, y) = (-20, 7), (-5, -2), (0, 3), (15, -4), (30, 5)

Step-by-step explanation:

You want 1/5x to match the x-value in the given table. To make that happen, multiply the given x by 5.

Example: when (1/5x) = -4, f(1/5x) = 7, so x = -4·5 = -20 for y = 7.

The transformation f(1/5x) is a horizontal expansion by a factor of 5, so each point of f(x) is now 5 times farther from the y-axis than it was.

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