Answer:
1.) g(x) = 2x - 14
2.) g(x) = 2x - 10
3.) g(x) = 8x + 24
4.) g(x) = 8x - 6
Step-by-step explanation:
You are given a function
F(x) = 2x - 6
1.) When a function shift to the left along x axis, you will add. But if it shifts right, you will subtract. Therefore
g(x) = 2(x - 4) - 6
Open the bracket
g(x) = 2x - 8 - 6
g(x) = 2x - 14
2.) Translation or shifting at y axis is vice versa of translation at x axis. Up is positive, down is negative. Therefore,
g(x) = 2x - 6 -4
g(x) = 2x - 10
3.) Compression of 1/4 along y axis will be the reciprocal of the value multiply by the function. The compressed function will be
g(x) = 4( 2x - 6 )
Open the bracket
g(x) = 8x + 24
4.) When you stretch along x axis, you will only multiply the value by coefficient of x. The stretch function along x axis will be
g(x) = (4) 2x - 6
g(x) = 8x - 6
