7a: let f(x) = 4x. the graph of f(x) is transformed into the graph g(x) by a vertical stretch of 2 units and a translation of 5 units right. what is the equation for g(x)? 7b: let h(x) = 10x. the graph of h(x) is transformed into the graph of g(x) by a vertical compression of 1/2 and a translation of 3 units up. what is the equation for g(x)?

Vertical stretch means y values are multiplied by 2, so 2f(x).
Translation of 5 units to the right, means x values minus 5 (it does the opposite to what you might think)
So overall g(x) = 2f(x-5) = 2(4(x-5)) = 8(x-5) = 8x-40

Vertical compression means y values are halved
3 units up mean y values plus 3
So ½h(x) + 3 = g(x) = ½(10x) + 3 = 5x + 3

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle