How do you find the vertex, focus and directrix of #48x = y^2 #?
(1) the Vertex is,
(2) Focus is
(3) Eqn. of Directrix is
By signing up, you agree to our Terms of Service and Privacy Policy
To find the vertex, focus, and directrix of the given equation ( 48x = y^2 ), you can first rewrite it in the standard form of a parabola equation ( y^2 = 4px ). Comparing the given equation with the standard form, we have ( 4p = 48 ), which implies ( p = 12 ).

Vertex: The vertex of the parabola is at the origin since the equation is in the form ( y^2 = 4px ). Therefore, the vertex is ( (0, 0) ).

Focus: The focus of the parabola is given by the point ( (p, 0) ). Substituting ( p = 12 ), we find the focus at ( (12, 0) ).

Directrix: The directrix of the parabola is a vertical line parallel to the yaxis, located at a distance of ( p ) units from the vertex. Thus, the directrix is the line ( x = (12) = 12 ).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 How do you know if #x^210xy+18=0# is a hyperbola, parabola, circle or ellipse?
 If lx+my=1 is the normal to the parabola y^2=4ax then prove that al^3+2alm=m^2 ?
 How do you complete the square to write in vertex form? #f(x)=3x^2+4x+2#
 How do you write the correct equation that fits the parabola?
 How do you identity if the equation #x^2+y^2+6y+13=40# is a parabola, circle, ellipse, or hyperbola and how do you graph it?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7