Question 8 of 10 A psychologist had a taxable income of $59,450 last year. If he paid 10% of
his income between $0 and $8350, 15% of his income between $8350 and
$33,950, and 25% of his income between $33,950 and $59,450 in federal
income tax, how much did the psychologist pay in federal income tax last
year?
A. $6375
B. $3840
C. $835
D. $11,050

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

32

step-by-step explanation:

why are you giving so many marks make your marks less and make a question list so that i can understand your question very nicely