F (x) = e x?" Recall from the graphical transformations section that the negative sign attached to the x indicates a reflection across the yaxis Therefore, the graph of h (x) = e x should look exactly like the graph of f (x) = e x, reflected across the yaxisA horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x) Examples of Horizontal Stretches and Shrinks Consider the following base functions, (1) f (x) = x 2 3, (2) g(x) = cos (x) The graphical representation of function (1), f (x), is a parabola What do you suppose the grapThe nature of the underlying relation is Y = a e b x, where alpha and beta are parameters of the relation To get this relation in linear model form, one transforms both sides of the equation to obtain ln(Y) = ln(a e b x) = ln(a) ln(e b x) = ln(a) b x = b Jscholarship Library Jhu Edu Y=e^x transformations
