Question

2.) f(x) is transformed to create the graph of g(x). Describe the

transformation
f(x) = |x|
g(x) = (x + 71
1x +
Ofis shifted up 7 units
7
Ofis shifted left 7 units
Ofis shifted right 7 units
7
Ofis vertically stretched by a factor of 7
Ofis shifted down 7 units

Answer 1

2nd option

Explanation:

given f(x) then f(x± a) is a horizontal translation of f(x)

• If + a then a shift to the left of a units

• If - a then a shift to the right of a units

g(x) = | x + 7 | ← with a = + 7

then g(x) is f(x) shifted 7 units to the left