Question

How to create an equation for function m? I wrote the right equation as a guess, but I don't understand it.​

Answer 1

`h(x)=2(x + 3)^{(1)/(2) }`

Explanation:

Parent function of the square root function has been given as,

f(x) =
`x^{(1)/(2) }`

If the graph of the given function is stretched vertically by the scale factor = g(x) =
`k(x^(1)/(2))`

If the graph is shifted 3 units to the left,

h(x) =
`k(x + 3)^{(1)/(2) }`

Since, the graph of the function passes through a point (-2, 2),

`2=k(-2 + 3)^(1)/(2)`

2 = k

Therefore, the function is
`h(x)=2(x + 3)^{(1)/(2) }`.