Question

The parent function of the following graph is f(x)= (1/2)^x What is the equation of the following graph?

graph through the points (negative 1, 4), (0, 2), (1, 1) and has a horizontal asymptote at y = 0

Answer 1

hint:
An exponential function has the form
f(x)=a(b^x)
We have been given that b=(1/2).
The value of a can be found when x=0, since \(b^0=1~\forall b\ne 0\)
You can read from the graph what f(0) is, and hence deduce a.

Answer 2

huh?

Answer 3

y=0(1/2x)

Answer 4

f(x)= (1/2)^x means \(f(x)= (1/2)^x\) = parent function.
The graph is derived from the parent function, and is equal to
\(g(x)= a(1/2)^x\)
where a is to be determined.
The ^ sign means "raised to the power of"
so (1/2)^x means "half raised to the power of x".

Answer 5

ohh