Which of the following transformations of y = f(x) will always produce a graph that has the same y-intercept as f(x)?

Question

A) y = f(x – 9)

B) y = f(–9x)

C) y = f(x) – 9

D) y = –9f(x)

Answer 1

try a simple function, y=x

under A) y=x+9 with a different y intercept = 9

under B) y =-9x which has the same y intercept = 0

under C) y = x-9 which has a different y intercept, = -9

under D) y =- 9x which has the same y intercept = 0

A and D are eliminated

try y =x^2+1

under B y = 81x^2 +1 which has the same y intercept = 1

under C y= -9(x^2 +1) which has a different y intercept = -9

Go with B)