Question

Match the graph of the function with the function rule

Answer 1

As seen from the graph, the y intercept is (0,0.5)

plugging this value in each equation:

y=1*4^x

plugging x as 0 and y as 0.5

lhs≠rhs

$y=\frac{1}{4} *4^{x}$

plugging x as 0 and y as 0.5

lhs≠rhs

$y=\frac{1}{2} * 4^{x}$

plugging x as 0 and y as 0.5

lhs = rhs

so answer is $y=\frac{1}{2} * 4^{x}$