Question

Given the function f(x)=x^2 and k=3, which of the following represents the graph becoming more narrow?

A. f(x)+k
B. kf(x)
C. f(x+k)
D. f(k-x)

Answer 1

B

the spread of the graph of a parabola is determined by the multiplier k

the standard comparison is against k = 1

• If k > 1 then the graph narrows towards the y-axis

• If 0 < k < 1 then graph widens towards the x- axis