Question

What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=0.75x ?

A.) g(x) = 0.75^x + 3
B.) g(x) = 0.75^x + 2
C.) g(x) = 0.75^x - 1
D.) g(x) = 0.75^x - 2

Answer 1

f(x) = 0.75^x will pass through the point (0,1) because 0.75^0 = 1

This graph passes through (0,3) so it has been translated up 2 units.

The answer is b g(a) = 0.75^x + 2

Answer 2

Answer: The correct option is B.

Step-by-step explanation:

The given parent function is,

`f(x)=0.75^x`

Put x=0

`f(0)=0.75^(0)`

`f(0)=1`

It means the graph of parent function intersect the y-axis at 1.

From the given figure it is notices that the graph of function intersect the the y-axis at 3. It means the graph of parent function is shifted two units in upward direction.

If we add any constant k in the function, then the graph of function shifts upward by k units and if we subtract any constant k from the function, then the graph of function shifts downward by k units.

Since the graph shifted upward by 2 units so we have to add 2 in the parent function.

`g(x)=f(x)+2`

`g(x)=0.75^x+2`

Therefore, the correct option is B.