Transformations

Question

For the function y= f (x) , which transformed function, have the same x-intercept as y=f(x)

Answer 1

Function y = f(x)

x-intercept for y = f(x) is the point (x₁, 0)

Therefore,

y = f(x₁) = 0

If “a” is a number or an expression multiplied by f(x),

then for x = x_1, a•f(x₁) = 0.

Therefore, it is

y = a•f(x)