Exponential Function: Alternative question: What movements has function f(x) = 5^(x-2)-4 made in relation to function g (x) = 5^(x) ? a) Vertical upward translation of 2 units a…

Question

Exponential Function:

Alternative question:

What movements has function
`f(x) = 5^(x-2)-4` made in relation to function
`g (x) = 5^(x)` ?

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

Answer 1

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

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)