Show that KEYS is a square if K (-2, 4) ,E (4,2 ), Y(2,-4 ) ,S (-4, -2) are the co- ordinates of the vertices.
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Answer:
Step-by-step explanation:
If you plot these points on a coordinate plane, you see that they are on the same horizontal line, y = 7, with the focus 1 unit to the right of the vertex. This means that the parabola is a sideways opening parabola, to the right, to be more specific. That means that it has the basic vertex form
where p is the distance in units from the vertex to the focus, h is the first coordinate in the vertex, and k is the second coordinate in the vertex. For us, p = 1, h = 6, and k = 7. Now we will just fill the vertex form of the equation in with our values:
We will solve this for x now by dividing each side by 4 and adding over the 6: