Answer:
[tex]g(x)=-\sqrt{x+4}+3[/tex]
Explanation:
The function for the graph in blue is given as:
[tex]f(x)=-\sqrt{x}[/tex]
• A point on f(x) is (0,0).
,
• A corresponding point on g(x), the red graph = (-4, 3)
This means that:
(1) f(x) has been translated by 4 units to the left which gives:
[tex]-\sqrt{x+4}[/tex]
(2) f(x) has been translated by 3 units up.
[tex]-\sqrt{x+4}+3[/tex]
Thus, the expression for g(x) is:
[tex]g(x)=-\sqrt{x+4}+3[/tex]
