Question

In two or more complete sentences, identify the parent function, and describe the transformations that were applied to

obtain the graph. f(x) equals 2x+6+3

Answer 1

Explanation:

Transformed of the function has been given as,

f(x) =
`√((2x+6))+3`

=
`√(2)(√(x+3))+3`

Parent function of this transformed function =
`√(x)`

Vertical stretch = By a factor of
`√(2)`

Horizontal shift = 3 units to the left

Vertical shift = 3 units up

Now we can summarize these transformations as,

1). Parent function g(x) =
`√(x)` has been vertically stretched by a factor of
`√(2)`

2). Followed by the translations of 3 units left and 3 units up.