Answer:
All real numbers
Step-by-step explanation:
we have the function

This is a vertical parabola open upward
The vertex represent a minimum
Remember that
The domain of a function is the set of all possible values of x
The quadratic functions are continuous and defined for all real values of x.
therefore
The domain of the function f(x) is the interval (-∞,∞)
That means
All real numbers
Hope this helps :))
...............................
Answer:
vertical translation of 3 units down
Step-by-step explanation:
we have
----> the parent function
The vertex of f(x) is the point (0,0)
----> the transformed function
The vertex of g(x) is the point (0,-3)
so
The rule of the translation is
f(x) -----> g(x)
(0,0) ----> (0,-3)
(x,y) ----> (x,y-3)
That means ---> The translation is 3 units down
see the attached figure to better understand the problem
<span>The equation for the circle is
</span><span>(x+7)^2+(y-4)^2=12^2 </span>