Question

Please help
what is the equation for the following graph

A=1

Answer 1

`f(x)=√(x+5)-3`

Explanation:

Given function for graph:
`f(x)=√(x-h)+k`

Therefore, the parent function is
`f(x)=√(x)`

`f(x)=√(x-h)+k` can be obtained by translating
`f(x)=√(x)` to
`h` units to the right and
`k` units up

The x and y intercept of
`f(x)=√(x)` is the origin

Therefore, this graph has been translated 5 units to the left and 3 units down.

Therefore,
`h=-5` and
`k=-3`

Substituting these values into the given function:

`\implies f(x)=√(x-(-5))+(-3)`

`\implies f(x)=√(x+5)-3`