Identify the transformations of the graph f(x) = x3 that produce the graph of the given function g(x) = − 1/4(x + 4)^3. Apply the transformations to the reference points (−1, −1), (0, 0), and (1, 1) using the changes to x and y. Complete the table. f(x) = x3 g(x) = −
1
4
(x + 4)3
x y x y
−1 −1
1
4

0 0 −4
1 1
−
1
4

87

Step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.