The parabola in the image has its focus at (4, 3). Its directrix is the line y = 1. The point (8, 6) is on the parabola. YA 9 4 3 3 4 9 Select all of the statements that are true. O The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1. O The point (2, 3) is on the parabola because it is 2 units away from the Focus and 2 units away from the directrix. The point (-1, 8) is on the parabola. O If point (x, y) is on the parabola, then the distance between (x, y) and the point (4, 3) is the same as the distance between (x, y) and the у-аxis. O The point (6,3) is on the parabola

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A: The standard equation of the parabola is written in the form ofy=ax2+bx+c

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A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

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Q: 7. Write an equation for each parabola a) 0, 11) 8- 4- (4, –5) b) | YA |(-6, 4) 4- (-5.3) 2 -6 -2 0…

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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.