can someone please actually help me with these simple question

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

For Question #1, the set that is quadratic would definitely be Set B, because if you square or raise to the 2nd power each of the y terms you get (2² =4, 3²=9, 4²=16, 5²=25, and 6²=36). Set A is linear (x is increasing by 2 and y is increasing by 5, set C there is no pattern between x and y, and set D is a cubic set meaning anytime you take an x value and raise it to the third power, it will always give you y. (2³=8, 3³=27, 4³=64).

For Question #2, the answer would Set D because since -3 is a real number and 4i is a complex (imaginary) number, where the real axis is the x-axis, and the imaginary axis is the y axis, set D clearly only matches this particular complex number because you go left 3 units because it is negative on the x axis, and go up 4 units because 4i is a positive number on the y-axis.

The person above made a mistake for denoting 4i as a negative number, it is in fact a positive number because of the addition sign in front of the imaginary number. I hope this helps :)

Answer 2

set A is linear because x increases by 2 when y increases by 5

set D is exponential y=x^3

set C is non-sensical

set B is y = sqrt(x)

so x = y^2 which is quadratic

Best bet is option B

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again, option B is best

-4 on the imaginary axis means DOWN 4

-3 on the real axois means LEFT 3