Explanation: The vertex form of the equation of a parabola is: #y = a (x - h)^2 + k# where (h, k) is the vertex point. We know that the vertex is equidistant between the focus and the directrix, …

(x+2)^2 +(y-4)^2 =49 The standard or general form of a circle is (x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center of the circle and r is the radius. In this problem, h=-2, k=4 and r=7 Plugging these …

Jun 3, 2016 · How do you write the standard from of the equation of the circle given center (-2,8) and radius 12?

Step two: Form the required equation If we want an equation that has one more than two roots (i.e. three roots), we need to form a cubic equation. A cubic equation can have up to three …

A direct variation equation is of the form y = mx for some constant value m (note that all direct variation equations go through (0,0) so this is irrelevant information) We have that the line of …

Feb 18, 2016 · A "point" is conventionally written as an (x,y) coordinate. Thus, the x = 5 and the y = -6 in this case. Plug those values and the given slope into the equation for a line: y = m*x + b …

How do you write the standard from of the equation of the circle given center C (-3, -1) and has a radius of 7?

Nov 11, 2015 · The general form of the two coordinate formula is: y −y1 y2 −y1 = x − x1 x2 −x1 when you have two coordinates, (x1,y1) and (x2,y2). Applied to your example The values in …

Apr 13, 2018 · Talking about what the equation is saying. The general shape of a quadratic graph is called a parabola. It is just a name but one worth remembering. On the whole we have the …

Apr 29, 2015 · Given a quadratic equation in the general form: ax^2+bx+c=0 The discriminant is: Delta=b^2-4ac in your case: a=1 b=-1 c=2 So: Delta=.... Remember that: Delta>0 two real …