Match each transformation of f(x) with its description.

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

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

-2

7 - 9 = -2

reversed:

-2 + 9 = 7