Question

In the text box below, write a brief summary about how you can use function notation to help you determine paramater changes.

Answer 1

Explanation:

From the picture attached,

1). If a function f(x) is vertically compressed, image function will be defined by,

g(x) = k[f(x)] where k > 1

If the given function is vertically stretched, image function will be,

g(x) = k[f(x)] where 0 < k < 1

2). If a function is horizontally compressed, image function will be,

g(x) = f(kx) where k > 1

If a function is horizontally stretched, image function will be,

g(x) = f(kx) where 0 < k < 1

3). If a function is translated c units left, image function will be,

g(x) = f(x + c)

When the function is translated k units right, image will be,

g(x) = f(x - c)

4). If a function is translated up by c units, image function will be,

g(x) = f(x) + c

If a function is translated down by k units, image will be

g(x) = f(x) - c