Question

write an equation for a function , g(x), that is obtained by shifting the graph of f(x)= | x | three units to the left, reflecting that result over the x-axis, and then translating the graph up four unita.

Answer 1

g(x) =- | x + 3 | + 4

adding 3 units to x shifts the graph 3 units to the left

the negative reflects the function in the x- axis

adding + 4 translates the graph vertically up by 4 units