MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 12
        
what is the graph of y=|x|^2 and y=|x^2| ..please provide an image of this
2 months ago

Answers : (5)

Aditya Gupta
2015 Points
							
We know that x^2 is always non negative. 
So x^2= |x^2|= |x|^2 for all x.
Hence graph of y= x^2, y= |x^2| and y= |x|^2 would be precisely same.
So we only need to draw the graph of y= x^2.
This is obviously an upward parabola touching the x axis at the origin. If you want to see an image of the graph, you can go on "desmos" graphing calculator online and type y=x^2 there to see the plot. It is not possible to add image here.
2 months ago
Saurabh Koranglekar
askIITians Faculty
7985 Points
							Dear student

They exactly coincide and look like upward open parabola passing from origin

Regards
2 months ago
Arun
24706 Points
							
Dear Student
 
As x^2 is always posotoy or zero hence on takin mod, it soed not get affected.
hence graph of x^2 and |x^2 | is same.
and graph of x^2 is known as parabolic
 
Now in |x^2|, graph would be same
2 months ago
Vikas TU
11384 Points
							
Dear student 
One thing we can say about the expression is that y will be positive since right hand side of the equation is inside the modulus or absolute value function. y will be at least greater then and equal to zero.
And one thing you will notice is that there is no difference between

both of the expressions we give exactly same values of y , and have same plots.
2 months ago
Yashraj
327 Points
							
as
you 
can see that 
if you replace
x by -x both the expressions are same 
and symmetric about x axis
and will be like y=x2
2 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 70 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details