In Exercises 3-8, write a function g whose graph
represents the indicated transformation of the graph
of f. Use a graphing calculator to check your answer.
(See Example 1.)
3. f(x) = x - 5; translation 4 units to the left
4. f(x) = x + 2; translation 2 units to the right
5. f(x) = 4x +31 + 2; translation 2 units down
6. f(x) = 2x - 9; translation 6 units up

When any curve shifted towards the left then the equation of shifted curve is obtained by adding the shifted value to the abscissa and vice versa for shifting the curve towards the right.

(3) f(x)=x-5: Translation 4 units to the left.

The equation will changes to f(x) = x + 4 - 5

f(x) = x - 1

(4) f(x) = x + 2; translation 2 units to the right

The equation will changes to f(x) = x - 2 +2

f(x) = x

(5) f(x) = 4x +31 + 2; translation 2 units down

The equation will changes to f(x)+2 =4x + 31 + 2

f(x) = 4x + 31

(6) f(x) = 2x - 9; translation 6 units up

The equation will changes to f(x) - 6 =2x - 9

f(x) = 2x - 3

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