Please someone actually help me as soon as possible please

Question

Question 1: Identify the data set that could be quadratic.

A.)

B.)

C.)

D.)

Question 2: Identify the graph for the complex number −3 + 4i.

A.)

B.)

C.)

D.)

Please just give and only give the explanation and the solution.

Answer 1

Hi Jackie.

Question 1

Here are 2 hints.

1.Quadratic- A quadratic equation has the degree 2

1. You are trying to make a true equation that starts with y =.....

So, look at the first data set. For the first pair (x, y)

Is y = x² a true equation?

Substituting the first (x, y) is 15 =6² ?

If the answer is "yes", check all the (x, y) pairs in the first data set. If it is a "yes" for all (x, y) pairs, then that is the one!

If the answer is "no" move on to the data set and follow the same steps.

Question2

Hint: If the question was not about complex numbers, how would you locate (-5,3) on your xy grid? Take the same approach.

Answer 2

Quadratic data will have 2nd differences constant (1st differences linear).

Make a difference table: a table of successive differences; then make a table of successive differences of those differences. When you find one with the second set of differences constant, you will have found your quadratic data. And if you are interested to know why, send me a message and I will try to explain further.

Part B is graph D.