Mathematics, 09.07.2019 23:00 leahmitch612

95 ! alicia is writing the program for a video game. for one part of the game, she uses the rule (x, y) → (x – 3, y + 2) to move points on the screen a. what output does the rule give when the input is (-2, 0)? show your work. (2 points) b. what output does the rule give when the input is (3, -4)? show your work. (2 points) c. is the rule a function? (1 point) explain why it is or why it is not. (2 points)

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Answer from: kayyaybruh

The "rule" being described here is nothing more than the input/output of a mathematical function.

For every input 'x' value supplied, you only need to subtract three to it. For every input 'y' value, you only need to add four to it.

Example: I'll use variable 'm' to represent this function. Variable 'p' will represent the current input point.

m(p) = p[x - 3, y + 4] = p[-7 - 3, 0 + 4] = p[-10, 4]. 'p[]" is just the point.

I tried my best hope that help!

Answer from: haleygreene3728

A. (-5,2)

insert -2 as x and 0 as y so you get something like (-2-3,0+2). negative two minus three is negative five. zero pls two is two.

b. do the same.
the answer is (0,-2
just solve (3-3,-4+2)

c. this is a function because each time you input an x or y coordinate, there is only one output.

Answer from: Quest

Answer: choice c and choice d

=====================================

explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

Which functions have an additive rate of change of 3? check all that apply

Answer from: Quest

the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

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95 ! alicia is writing the program for a video game. for one part of the game, she uses the rule (x...