# Find the point on the parabola that is closest to the point

Find the point on the parabola shown below that is closest to the point (7,0). y=x2 V (a) Express the square of the distance between the parabola and the point (7,0) in terms of x only. ## Find the point p on the parabola y = x2 closest to the point (3, 0).

Substitute the equation of the parabola into the distance formula to get the square root of a quartic to minimise. This is quadratic in x^2, so complete the square to find the ## Find a point on a parabola thats closest to another point.

Find a point on a parabola that's closest to another point Question: Find the point on the parabola $3x^2+4x-8$ that is closest to the point $(-2,-3)$. My plan for this problem was

## Solved Distance Optimization a. What point on the parabola

Answer (1 of 11): > Find the point on the parabola y^2=2x that is closest to the point (1,4). How can I approach this? Rewrite the parabola as: x = \frac {y^2}{2

Decide math problems

To solve a math equation, you need to decide what operation to perform on each side of the equation.