Question

The point (2, 1) is the turning point of the graph with equation y = x² + ax + b,

where a and b are integers.
Find the values of a and b.
Optional working
+
a
b =

Answer 1

Explanation:

This is a quadratic with vertex at (2,1) ....write the equation first in vertex form, then expand to the form requested

y = ( x -2)^2 + 1

y = x^2 -4x +4 + 1

y = x^2 -4x + 5 Done. a = -4 b = 5