Question

Describe how to transform the graph of f(x) = x² to obtain the graph of the related

function g(x). Then draw the graph of g(x)
15. g(x) = f(x+ 4)/3
16. g(x) = f (2x) + 2

Answer 1

To obtain the graph of the related function g(x) from f(x) = x², different transformations can be applied. For g(x) = f(x+4)/3, the graph is shifted 4 units to the left and vertically stretched by a factor of 1/3. For g(x) = f(2x) + 2, the graph is horizontally stretched by a factor of 1/2 and shifted vertically 2 units upward.

Step-by-step explanation:

To transform the graph of f(x) = x² to obtain the graph of the related function g(x), we can apply the given transformations:

For g(x) = f(x+4)/3, the graph of g(x) is obtained by shifting the graph of f(x) 4 units to the left and then stretching it vertically by a factor of 1/3.

For g(x) = f(2x) + 2, the graph of g(x) is obtained by stretching the graph of f(x) horizontally by a factor of 1/2 and then shifting it vertically 2 units upward.