Transformation of functions Flashcards
what is the general function for transformations?
y = a f(k(x - d)) + c
or
y = a (x-h) + k
the value of a determines whether there is _____
a vertical stretch or compression
the value of k determines whether there is _____
a horizontal stretch or compression
the value of d determines whether there is _____
hint: y = a f(k(x - d)) + c
a horizontal translation (shift)
the value of c determines whether there is _____
hint: y = a f(k(x - d)) + c
a vertical shift or translation
when |a| is < 1, the graph of f(x) is ______
stretched vertically by factor of |a|
when 0 < a < 1, the graph is ____
compressed vertically by the factor of |a|
When a < 0, the graph is ____
reflected in the x-axis
when |k| > 1, the graph is
compressed horizontally by factor of 1/ |k|
when 0< |k| < 1, the graph is
stretched horizontally by the factor of 1/ |k|
when |k| < 0, the graph is _____
reflected in the y-axis
when d < 0, the graph is
(d = negative)
translated left
ex. (x+d)
= d is a negative number
when d > 0, the graph is _____
(d = positive)
translated to the right
ex. (x-d)
= d is a positive number
when c > 0, the graph is ___
translated up
when c < 0, the graph is
translated down
