Mathematics

Problem

Let

f(x)=kx^{2}+(k-4)x+1

, where

k\neq 0

. The vertex of the parabola represented by

y=f(x)

lies on the

y

-axis. a. (i) Determine the value(s) of

k

that satisfy the given condition. b. (ii) For the admissible value of

k

, find the coordinates of the vertex and the equation of the axis of symmetry. c. (iii) State whether the vertex corresponds to a maximum or a minimum value of

f(x)

and find that value.

Browse the problem library