MRC3U - tranformations of a graph

a value

Vertical stretch (a>1)
Vertical compression (0<a<1)

k value

horizontal stretch (0<k<1)
horizontal compression (k>1)

“-” value

reflection on x-axis (-a value)
reflection on y-axis (-k value)

d value

horizontal shift left or right
opposite then whats in equation : (x-d) = positive d value
(x+d) = negative d value

c value

vertical shift up or down

Quadratic Parent and transformed

Parent: f(x) =x²
Transformed: g(x) = a(x-d)² + c

Square root Parent and transformed

Parent : f(x) = √x
Transformed: f(x) = a√k(x-d) + c

Rational Parent and transformed

Parent: f(x) = 1/x
Transformed: g(x) = a/k(x-d )+ c

Absolute Parent and transformed

Parent: f(x) = IxI
Transformed: g(x) = aIk(x-d)I + c