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

Question

asked Apr 25, 2022 222k views

1 Answer

Dave Long · Answer 1 · 2022-05-01T01:03:22+0000

Answer:

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

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