# If f(x) = 3x and g(x) = 3(x + 1) + 6. Describe the transformations from f(x) to g(x).

Left1 and up6

Left6 and up1

Right6 and up1

Right1 and down6

**Solution:**

Given: Functions are f(x) = 3x and g(x) = 3(x + 1) + 6

We have general formula of transformations as f(x) = a(bx - h) + k

where k is the vertical shift, h is the horizontal shift, a is the vertical stretch and b is the horizontal stretch.

On comparing with given g(x), we get h = -1 and k = 6

Negative value implies that we are shifting g(x) to 1unit to the left and the vertical shift is 6 units up.

Hence, if f(x) = 3x and g(x) = 3(x + 1) + 6, then the transformation from f(x) to g(x) is left 1 and up 6.

## If f(x) = 3x and g(x) = 3(x + 1) + 6. Describe the transformations from f(x) to g(x).

**Summary:**

If f(x) = 3x and g(x) = 3(x + 1) + 6, the transformations from f(x) to g(x) are left1 and up6.