Answer:
Explanation:
Given is the standard form of the equation of a parabola as

We are to convert this into vertex form
Vertex form would be
, where (h,k) would be the vertx
To bring to this form we can use completion of squares method
![y = 7x^2 + 14 x+4\\y=7(x^2+2x)+4\\y = 7[(x+1)^2-1]+4\\y=7[(x+1)^2-7+4\\y=7(x+1)^2-3](https://img.qammunity.org/2021/formulas/mathematics/high-school/pe9iwyu9ckw71ir8tnzvl7o03pkczk9mlp.png)
So this would be the vertex form
Since we have x square and x term we suitably added a value so that the three terms made a perfect square.
Here added and subtracted 1.