Answer:
; minimum
Step-by-step explanation:
Given:
The function is, 
The given function represent a parabola and can be expressed in vertex form as:

The vertex form of a parabola is
, where,
is the vertex.
So, the vertex is
.
In order to graph the given parabola, we find some points on it.
Let 




So, the points are
.
Mark these points on the graph and join them using a smooth curve.
The graph is shown below.
From the graph, we conclude that at the vertex
, it is minimum.
If you change 1/4 so that the denominators of both fractions are the same by mutiplying 4x3 for the bottom and 3x1 for the top and then add 5/12 and 3/12 to get 8/12 and then for it to be a whole number, you need 4/12 to complete the whole which is the fraction of children at the bleachers at the basketball game (4/12) .
The number of students that will need to buy the tickets is 419.
<h3>How many students will need to buy tickets?</h3>
The equation that can be formed from the information provided in the question is:
$20s < $1250 + $625 + $1470 + $12s
Where s represents the number of students
$20s < $3345 + $12s
$20 - $12s < $3345
$8s < $3345
s < $3345 / $8
s < 419
To learn more about inequality, please check: brainly.com/question/5031619
#SPJ1
one way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
graph
It is undefined when x=0 (y-axis), this occurs two times during one full revolution of the unit circle. Once at

or 90° and again at

or 270°.