Transformations

Translation

Slide by (a, b)

(x, y) \to (x + a, y + b)

Across the x-axis

(x, y) \to (x, - y)

Across the y-axis

(x, y) \to (- x, y)

Across y = x

(x, y) \to (y, x)

Across y = −x

(x, y) \to (- y, - x)

90° (same as 270° clockwise)

(x, y) \to (- y, x)

180°

(x, y) \to (- x, - y)

270° (same as 90° clockwise)

(x, y) \to (y, - x)

Scale factor k, center at the origin

(x, y) \to (k x, k y)

Trouble with a formula often traces back to an earlier skill. Our free check-in finds the exact gap. A tutor then works on it with your child.