Describe the transformation that takes f(x) = x+1 to g(x) = -x+4.

Reflecting over the x-axis, vertical movement up 3 units.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Transformations of graphs

Step-by-step explanation:

Step 1: Define

f(x) = x + 1

g(x) = -x + 4

Step 2: Define

Multiplying -1 to x flips it over the x-axis, or known as a reflection. There is no vertical shrink/stretch.

To get to 1 to 4, we add 3. That means we will be moving the graph up 3 units.

step-by-step explanation:

one day the were 5 ducks, and their king told them to multiply their kingdom. so each went their own seperate way and met 4 other ducks on their journey.

when the ducks returned to their kingdom, it was discovered that there were 5 groups of 5 ducks. when the kind counted the number of ducks in total (including the ones he sent out earlier) he counted 25.

therefore 5 times 5 is 25.

the end. : )

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36