Question

Pls help

80 points!
function g is a transformation of f the graph below shows f as a solid blue line and G as a red dotten line

Answer 1

Vertex is same x coordinate

Means y is changed

f(x) has vertex (4,3)

g(x) has vertex (4,-3)

Total change

• |3+3|=6

So the transmission is f(x)-6

Answer 2

`\textsf{D)} \quad f(x)-6`

Explanation:

Translations

For
`a > 0`

`f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}`

`f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}`

`f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}`

`f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}`

From inspection of the graph, g(x) is a translation of f(x) by 6 units down.

`\implies g(x)=f(x)-6`