Let f(x) represent a function.

Which descriptions match the given transformations?

Drag and drop the answers into the boxes.



f(x)−4
4f(x)

Let fx represent a function Which descriptions match the given transformations Drag and drop the answers into the boxes fx4 4fx class=

Respuesta :

f(x)−4 involves translating the graph of f(x) DOWN by 4 units.

4f(x) involves vertical stretching of the graph by a factor of 4.

The descriptions which match the given transformations are;

  • f(x)−4 = f(x) is translated 4 units down
  • 4f(x) = f(x) is stretched vertically by a factor of 4.

For f(x)−4:

  • Subtracting “-4” from the definition of a function, f(x) causes the entire function to be “translated vertically” by a negative four. (vertically downward)

This process works for all functions, and is usually thought through in the reverse order (i.e vice versa)

For 4f(x):

If a function g(x) = 4f (x): For any given input, the output of g is four times the output of f, so the graph is stretched vertically by a factor of 4.

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