Question

The coordinates of the turning point of the graph of

y = x
2 − 8x + 25 is (4,9).
Hence describe the single transformation which maps
the graph of y = x

2 onto the graph of

y = x
2 − 8x + 25.

Answer 1

(x + 4), (y + 9)

Explanation:

y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.

The turning point of y = x^2 is at the origin (0, 0).

So the transformation is 4 units to the right and 9 units upwards:

(x + 4), y+ 9).