21. (04.07) Given the parent function of f(x) = x?, what change will occur when the function is changed to f(x) - 3? (1 point)

Answer choices:
A. Shift to the right 3 units
B. Shift to the left 3 units
C. Shift up 3 units
D. Shift down 3 units

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

4x and 6y

im not sure though

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value