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)

Question

Mathematics

Peter

19 March, 00:47

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)

+5

Answers (1)

Know the Answer?

Zachery Yoder · 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

Given the function f (x) = x^2 and k=3, which of the following represents the graph becoming more narrow?A. f (x) + kB. kf (x)C. f (x+k)D. f (k-x)

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)