Consider the point at (2,4). Suppose you rotated the point 30 degrees counterclockwise about the origin. In other words, you put a pushpin at the origin and rotate the graph 30 degrees but keep the axes fixed. What would be the new coordinates of the point?

Q: the answer is right for going arond the y- axis but what about the x-axis?

A: About the  x-axis is also similar. Then range of x will be from 0 to 2and the formula is…

Q: directrix is x=2 and has a focus at (4,9).

A: Here we apply distance of any point of parabola from directrix and focus is same. We took a general…

Q: Find an equation of the parabola with focus (-2,-5) and directrix y=3

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: If the xy-coordinate axes are rotated , find the XY-coordinates of the point (x,y) = (4,5

A: The new coordinates (X, Y) of a point (x, y) can be found using the following rotation…

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Find the coordinates of the point on the parabola y = x² which is closest to the point (3, 0).

A:

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

A:

Q: Find a real-life object or structure with cultural relevance that models a parabolic curve. PS.…

A:

Q: Verify that the mapping z + z², (z e C) will map the line y = -3 to a parabola. Find its Cartesian…

A: