Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x – 2)² + 6 8 = -- O f(X) = - (x - 2)² + 6 1 -(x – 2)² + 6 8. O f(x) -* + 2)? + 8 = - 1 O r0) = x + 2) -

Q: the coordinates of the shadow point k (5,-4) which are translated by T=((-2)/(1)) and followed by…

A: The given point is:k=(5, -4)

Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: O Find the equation of the parabola that has its focus at (-4, 1) and its directrix x = 0.

A: