Answer:
1) shifts f(x) 4 units down = g(x) =
2) stretches by factor 4 = g(x) =
3) shifts f(x) 4 units right = g(x) =
4) compresses by factor 4 = g(x) =
Step-by-step explanation:
1)<em> When we have to move the function down by 4 units, subtract the whole function by -4, that is y -4.</em>
Thus, f(x) becomes g(x) = =
2) <em>When the function is stretched away from x axis, it means in Y direction.</em>
<em> Thus, when stretched 4 units in Y direction, the function becomes 4(f(x))</em>
= g(x) = =
3)<em>When we have to move the function right by 4 units, replace x with (x-4) in the function.</em>
Thus, f(x) becomes g(x) = =
=
4) <em>When the function is stretched towards y axis, it means in X direction.</em>
<em> Thus, when compressed 4 units in X direction, replace the x by 4x.</em>
= g(x) = =