Consider the quadratic function .

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Consider the quadratic function

f(x)=3x^{2}-7x+4

. (i) Rewrite

f(x)

in the form

a(x-h)^{2}+k

. (ii) Hence determine the coordinates of the vertex and the equation of the axis of symmetry of the parabola

y=f(x)

. (iii) State the minimum value of

f(x)

and the value of

x

at which this minimum occurs.