Radius is 2. Center is (1, -3)
f(x) has vertex = (- 1, - 5 ) and is a minimum
g(x) has vertex = (2, 3 ) and is a maximum
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x + 1)² - 5 is in this form with vertex = (- 1, - 5 ) and minimum
to determine if maximum/ minimum
• if a > 0 then minimum
• if a < 0 then maximum
g(x) = - (x - 2)² + 3 is also in vertex form with a < 0
vertex = (2, 3 ) and is a maximum
Basically meaning that no model can exactly be on point with whatever it is modeling. Two things cannot be EXACTLY identical to what they are referring to, but it is saying that some can get close enough to be useful as an example.
Answer: yes it has a proportional relationship
Step-by-step explanation: Well yes it is proportional because it goes through the orgin and that is what it is if it goes through the orgin (0,0) it means it has a proportional relationship hope this helped:)
After putting the value of y from the second equation to the first equation, the resultant equation is 
.
GIven:
The equations are:
It is required to put the value of y from second equation to the first equation.
<h3>How to solve equations?</h3>
The value of y from the second equation is,
Now, put this value of y in the first equation as,
Therefore, after putting the value of y from the second equation to the first equation, the resultant equation is .
For more details about equations, refer to the link:
brainly.com/question/2263981
