4 3 1 -3 -2 -1 0 1 2 3 4 -1

Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

Q: -5 10 5 5 X

A: The objective is to write the equation of each parabola in vertex form.

Q: Find an equation of the parabola with focus (-9,-3) and directrix x=-1

A:

Q: a. Write an equation whose graph is a parabola with vertex at (1,4) and which opens upward. b. Write…

A: One standard form of equation of a parabola is x=ay-k2+h. This form of parabola opens to the left or…

Q: Describe the part of a hyperbola given by the equation.

A: The standard form of equation of hyperbola having center at (0,0) and major axis on x axis is given…

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.