Is the parabola `y^2=4x` symmetrical about x-axis?

Find the equation of the parabola which is symmetric about y-axis and passes through the point (2,-3) .

Is the circle x^2+y^2=r^2 symmetrical about the line y=x?

Statement I The graph of y=sec^(2)x is symmetrical about the Y-axis. Statement II The graph of y=tax is symmetrical about the origin.

The equation of the common tangent touching the circle (x-3)^2 +y^2=9 and the parabola y^2 = 4x above the x-axis is :

Statement 1: The quadratic polynomial y=ax^(2)+bx+c(a!=0 and a,b in R) is symmetric about the line 2ax+b=0 Statement 2: Parabola is symmetric about its axis of symmetry.

Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to the line x=1 Statement 2 : A parabola is symmetric about its axis. a. Both the statements are true and Statements 1 is the correct explanation of Statement 2. b. Both the statements are true but Statements 1 is not the correct explanation of Statement 2. c. Statement 1 is true and Statement 2 is false d. Statement 1 is false and Statement 2 is true

If incident from point (-1,2) parallel to the axis of the parabola y^2=4x strike the parabola, then find the equation of the reflected ray.

The circle x^(2)+y^(2)+2lamdax=0,lamdainR , touches the parabola y^(2)=4x externally. Then,

The graph of the function y = f(x) is symmetrical about the line x = 2, then:

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5 .