+128460 Look at -7x^2 and -35x^2
Note that for each x value we put in the first function, the second function is 5 times as much
For instance if x = 1....... -7(1)^2 = -7
But -35(1)^2 = -35 * 1 = -35 ......five times as much as the first one.....
So.....
g(x) "stretches" f(x) by a factor of 5
The " +5" at the end of the second function just translates -35x^2 up 5 units
So
g(x) stretches f(x) vertically by a factor of 5 and translates this up 5 units
y = x ...if we have a vertical stretch of 6 units......x must become 6x
So y = 6x
Look at the graph here : https://www.desmos.com/calculator/lsp6ddool2
Note that when x = 2 in y = x....then y = 2
But....when x = 2 in 6x........then y = 12.......six times as much !!!!
Look at the other answers
y = x/6 = y = (1/6) x so this one actually vertically "compresses" the original function.....
y = x + 6 just translates y = x up 6 units
y = x - 6 translates y = x down 6 units
Hang in there, NSS.....these are sometimes difficult for me, too.....!!!!!
