Question (3): The correct option is  .
.
Question (4): The correct option is  .
.
Question (5): The correct option is  .
.
Further explanation:
Question (3):
Solution:
The best method to find which graph is widest and narrowest is graphing a quadratic function.
The vertically stretching of graph of  by a factor of
 by a factor of  can be obtained by
 can be obtained by  if
 if  is greater than
 is greater than  .
.
The graph is stretched as we increase the value of  in first case the value of
 in first case the value of  is
 is  and in the second case the value of
 and in the second case the value of  is
 is  and the third case is value of
 and the third case is value of  is
 is  .
.
It means that the third case has maximum stretching that leads to a narrow graph, and similarly in second case the value of  is
 is  it is also stretches but less than the third case.
 it is also stretches but less than the third case.
Therefore, the order of quadratic functions from widest to narrowest graph is as follows:

Figure 1 (attached in the end) represents the graph of the functions  .
.
Thus, the correct option is  .
.
Question (4):
Solution:
The reflection of graph of  about
 about  -axis can be obtained by
-axis can be obtained by  .
.
The graph of the function  is obtained when each point on the curve of the function
 is obtained when each point on the curve of the function  is reflected across the
 is reflected across the  -axis.
-axis.
Similarly, the graph of the function  
  and is obtained when each point on the curve of the function
 and is obtained when each point on the curve of the function  and
 and  is reflected across the
 is reflected across the  -axis respectively.
-axis respectively.
From figure 2 (attached in the end) it is observed that the graph of the function  is the widest and the graph of the function
 is the widest and the graph of the function  is the narrowest.
 is the narrowest.
Therefore, the correct option is  .
.
Question (5):
Solution:
If a constant is added to a function, the graph of the function shifts vertically upwards if the constant is positive and it shifts vertically downwards if the constant is negative.
For example: The graph of the function of the form  is obtained when each point on the curve of
 is obtained when each point on the curve of  is shifted along the
 is shifted along the  -axis. If
-axis. If  is positive then the curve shifts vertically upwards and if
 is positive then the curve shifts vertically upwards and if  is negative then the curve shifts vertically downwards.
 is negative then the curve shifts vertically downwards.
Similarly, the graph of the function  is obtained when each point on the curve of
 is obtained when each point on the curve of  shifts
 shifts  vertically upwards.
 vertically upwards.
Figure 3 (attached in the end) represents the graph of the function  and
 and  .
.
Therefore, the correct option is  .
.
Learn more:
1. Representation of graph brainly.com/question/2491745
2. Quadratic equation: brainly.com/question/1332667
Answer details:
Grade: High school
Subject: Mathematics
Topic: Shifting of graph
Keywords: Graph,inequality ,y=x^2 ,y=-4x^2 ,y=-5x^2 ,y=x^2 ,y=2x^2 , y=3x^2,  shifted, stretches, widest, narrowest, quadratic function shifting, translation, curve.