What is the equation of the following graph in vertex form

The first option,

Step-by-step explanation:

Because the graph is showing a quadratic function we need to start by the equation of a quadratic function in its vertex form, which is:

, where:

a= is a transformation coefficient

(h,k)=vertex coordinates

Because the vertex is (2,1) then h=2 and k=1, using the vertex form we obtain:

Now, because we have an extra point (0,5), we can find 'a' as follows:

, which can be simplified as:

Then the vertex form of the graph is:

, which is the first option.

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

$649.60

step-by-step explanation: