Answer: g(x) = (1/2)3^-x reflection over y axis yields (-x,y)
The y intercept is zero because it crosses the y axis at 0
1/8
50% is the same as 1/2, so you just multiply 1/2 by 1/4 to get the answer. First, multiply the numerators. 1*1 is 1. Then, multiply the denominators. 2*4 is 8. So, your answer is 1/8. If you want to check this, multiply 1/8 by 2 and you will get 1/4.
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There are a couple of different ways you could do this, but I'll show the simpler way. We will use the formula

along with the fact that the vertex has h and k coordinates of 1 and 4 respectively, and that a point on the graph is (3, 5). We could have used any point on the graph where there is a definite integer coordinate pair. We will fill in accordingly and solve for a.
and
5 = 4a + 4. If we subtract 4 from both sides we get that
. Now we will fill in the formula and expand as needed:
and
. If we distribute the 1/4 in and then add the constants the final equation for that graph will be
