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
[tex]4p(x-h)=(y-k)^2[/tex]
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:
[tex]4(x-6)=(y-7)^2[/tex]
We will solve this for x now by dividing each side by 4 and adding over the 6:
[tex]x=\frac{1}{4}(y-7)^2+6[/tex]
