Use the facts and graph below to write the equation for g(x). FACTS:

- this graph shows g(x).

- it looks like the graph of the parent function f(x)=|x|.

However:

- it has been vertically stretched by a factor of 2.

- it has been reflected (flipped) over the x-axis.

- it has been shifted down 3 units.

- it has been shifted right 1 unit.

Step 1: start with the equation f(x)= |x|. Write the equation for the graph of g(x) that has been stretched vertically by a factor or 2.

Step 2: use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been reflected, or flipped, over the x-axis.

Step 3: use the equation your wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted down 3 units.

Step 4: use the equation you wrote in step 3. Write the equation for the graph of g(x) that has also been shifted right 1 unit.

What is the smallest integer n such that n\sqrt{2} is greater than 20

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

X^2/100+y^2/25=1 the length of the major axis is: a)5 b)10 c)20