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Exponential Function:
Alternative question:

What movements has function [tex]f(x) = 5^{x-2}-4[/tex] made in relation to function [tex]g (x) = 5^{x}[/tex] ?

a) Vertical upward translation of 2 units and horizontal translation to the right of 4 units.

b) Horizontal translation to the right of 2 units and vertical translation up of 4 units.

c) Vertical downward translation of 2 units and horizontal translation to the left of 4 units.

d) Horizontal translation to the left of 2 units and vertical translation down of 4 units.

e) Horizontal translation to the right of 2 units and vertical translation down of 4 units.

f) Other

Respuesta :

mhanifa

Answer:

  • e) Horizontal translation to the right of 2 units and vertical translation down of 4 units.

Step-by-step explanation:

Given

  • f(x) = 5^(x-2) - 4

which is the result of the transformation of the function g(x)= 5^x

We can see that

  • f(x) = g( x - 2) - 4

This is indicating horizontal shift 2 unit to the right and vertical shift 4 units down

Correct answer option is e)