The graph of a quadratic function crosses the -axis at and

MATHEMATICS · Single correct · GCSE · Mathematics · Graphs · Graphs

Problem

The graph of a quadratic function crosses the

x

-axis at

x=1

and

x=5

, has its axis of symmetry at

x=3

, and passes through the point

(3,2)

. Which of the following equations satisfies all these conditions? (a)

y=\dfrac12\,(x-1)(x-5)

(b)

y=(x-3)^{2}+2

(c)

y=-\dfrac12\,(x-1)(x-5)

(d)

y=(x-1)(x-5)