Rewrite the equation in standard form y - 6 = -1/2 (x-5)

Standard Form: Ax + By = C

---A cannot be negative, nor can it be a decimal or fraction

y - 6 = -1/2(x - 5)

Distribute the -1/2

y - 6 = -1/2x + 5/2

Add -1/2x to both sides

1/2x + y - 6 = 5/2

Add 6 to both sides

1/2x + y = 17/2

Multiply everything by 2 to get rid of the fractions

x + 2y = 17

Hope this helps!! :)

Remember that the vertex form of a parabola is where is the vertex of the parabola.

Now, to find the vertex of the parabola, we are going to use the vertex formula:

For a quadratic of the form , the vertex is given by:

in other words, we find by evaluating the function at

We know form our quadratic that and , so let's use our formula to find :

Now we can evaluate our function at to find :

Now, we can rewrite our parabola in vertex form:

, , and

We can conclude that the correct answer is: y = 6(x + 1)2 – 16