Function Translations

Front

What does the transformation f(x) = 2x ---> g(x) = 2x + 4 indicate?

Back

Slide up 4.

Front

What equation represents the quadratic function that opens upwards and is translated left 4 units?

Back

y = (x + 4)².

Front

Describe the transformation of the graph f(x) = 2^x ---> g(x) = (2)^x + 6.

Back

Up 6.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What does the transformation f(x) = x² ---> g(x) = x² - 4 indicate?

Back

Slide down 4.

Front

What does the transformation f(x) = x² ---> g(x) = (x - 1)² indicate?

Back

Slide right 1.

Front

What does the transformation f(x) = x² ---> g(x) = (x + 2)² indicate?

Back

Slide left 2.

Front

What is the effect of adding a constant to a function, such as g(x) = f(x) + c?

Back

It translates the graph vertically by c units.

Front

What does the transformation f(x) = 3x ---> g(x) = 3x - 5 indicate?

Back

Slide down 5.

Front

What does the transformation f(x) = x² ---> g(x) = x² + 3 indicate?

Back

Slide up 3.