List the transformations to the basic graph and then graph t

List the transformations to the basic graph and then graph the function f(x)=3 (+7)^2-5

Solution

The list of transformations to the basic graph are

(i) Translation

(ii) Shifting

(iii) Scale (Streching / Compression), and

(iv) Reflections

The given fnctio is f(x) = 3 (+7)^2 - 5 = 3 x 49 - 5 = 142

Which is a constant graph. Thus, the graph is parallel to x-axis and at a distance 142 units above the x - axis.