h and k are just arbitrarily choosen names for these functions, and (x) is the variable we do all the calculations with
example: (x) can be some function, while d(x)= 2*f(x) always doubles what f(x) would give you. and in order to talk about the new function we give it a new name.
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let's have a look into it.
and with a look, I mean a look (screenshot 1)
k(x) basically takes the other equation, doubles its values, but also flips the sign (hence -2*h(x)), and then adds 3 (shifting everything 3 units up)
k(x) is a <em><u>vertical stretch</u></em> [note thatthe zero-pounts stay the same] by a factor of <em><u>-2</u></em>, <em><u>translated up</u></em> [you typed translated right twice, but the +3 in the new equation is safely putting everything 3 units higher].
to be honest, I can't get the meaning of some of the blanks and the options you mentioned don't seem to fit well.
I hope I gave you enough insight to do do the quiz anyways.
pls let me no if you solved it or if you need further explanations.
7-3x=34
-7 -7
-3x= 27 / -3
x= -9
<span>5m+7/2=-2m+5/2
5m + 3.5 = -2m + 2.5
5m + 2m = 2.5 - 3.5
7m = -1
m = -1/7 or 0,142857...
</span>
cot = cos/sin = x/y In order for cot to be negative, then the "x" and "y" are opposite signs (-x, +y) or (+x, -y). Which quadrants do these fall in?
(-x, +y) is in Quadrant 2
(+x, -y) is in Quadrant 4
Answer: 2, 4