Sketch $y=x^2−5x+6$. Find the $x$-intercepts, $y$-intercept, axis of symmetry and turning poin

Question

Sketch $y=x^2−5x+6$. Find the $x$-intercepts, $y$-intercept, axis of symmetry and turning point. Show how factorisation gives the roots.[5]

Accepted Answer

$(x−2)(x−3)=0$; Roots: $x= 2 \text { or }3$; $y$-intercept: $(0,6)$; Axis $x=2.5$; Vertex $\left(\frac52,-\frac14\right)$.

Functions and Graphs