Graph the image of the given triangle after the transformation with the rule (x, y)→(−x, y) . select the "polygon" button from the tool bar to plot your triangle. you may use the "move" button to move the triangle after it is created.

Given coordinates of the triangle:

(3,4)

(4,7)

(8,2).

We are given rule for transformation: (x,y) --> (-x,y).

According to given rule the y coordinates remain same but the coordinates of x's getting multiplied by a negative sign.

Let us write transformed coordinates of the given triangle according to given rule.

(3,4) --> (-3,4)

(4,7) --> (-4,7)

(8,2) --> (-8,2).

Now, we can plot those transformed coordinates on the graph and plot transformed triangle.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

; )

step-by-step explanation: ; )