Answer:

which is none of the choices provided.
Are you sure the question is right or even the choices?
You can even write it as:
but this is still not a choice.
Step-by-step explanation:
The vertex form of a quadratic is
.
This is called vertex form because it gives you the vertex is
.
We are given that
which makes our equation:
.
We can find the value of
by plugging in the x-intercept (7,0) for
into:



Subtract 25 on both sides:


Divide both sides by 25:

.
So the equation for the quadratic is:

Let's put this into factored form since all the choices are in factored form.
This will require us to multiply the (x-2)(x-2) out:





Factor out -1:

WE need to find two numbers that multiply to be -21 and add to be -4:
