Question

A function f(x)=x^2 is given .write the name of the locus of the curve.​

Answer 1

Step-by-step explanation:

The equation of a curve is the relation which exists between the coordinates of all points on the curve, and which does not hold for any point not on the curve”.

Answer 2

Therefore the locus of the given function f ( x ) = x² will be a 'Parabola'.

Given:

The function f ( x ) = x²

To Find:

Locus of the curve.

Solution:

The given question can be solved as shown below.

Given function f ( x ) = x² that is y = x²

As we can see that one variable is squared and another is linear.

Hence the locus of the curve gives the " Parabola ".

The parabola y = x² is symmetrical about Y-axis and open to the top.

Therefore the locus of the given function f ( x ) = x² will be a 'Parabola'.

#SPJ2