In a simple video game, a rocket travels in an elliptical orbit whose path is described by the equation 4x2 + 25y² lines tangent to its path. The object of the game is to destroy an incoming asteroid travelling along the positive x-axis toward (0,0). If the rocket fires a missile when it is located at (3, where will it itersect the x –axis? 100. The rocket can fire missiles along

Q: solve by completeing the sqaure  9y^2+30y-32=0

A: Given:

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: Give 3 points that lie on the parabola y=x^2-5x-2

A:

Q: Determine the vertex of a parabola y=-2x^2+15x using calculus (use first principles to solve)

A:

Q: The center of the geometric figure described by 16x^2-160x+36y+292=0 is at what point?

A: We have the given function as 16x2-160x+36y+292=0 On solving further by using completing the square…

Q: Determine an equation to represent the following parabola in intercept form

A: This question is about finding equation of curve by its points

Q: Determine an equation for the parabola whose vertex is (- 2, 3) and goes through the point (4, - 6)

A: Given (h, k)=(-2, 3) and parabola passes through (4, -6).

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.