The parabola is a graph of the equation y = (x-1)^2 - 3 which point will satisfy the inequality

Question

The parabola is a graph of the equation y = (x-1)^2 - 3 which point will satisfy the inequality

y<(x-1)^2 - 3?

 

A.) (1,0)

B.) (5,3)

C.) (2,5)

D.) (0,5)

Answer 1

Emoni, all you have to do is plug the x,y values from each point into the inequality and see if it's true.  I'll do the first one for you:

 

y < (x-1)² - 3

 

Let's try choice A.) (1,0).  Remember this is an ordered pair so it's (x=1,y=0).  Let's plug 0 for y and 1 for x into the inequality equation:

 

0 < (1-1)² - 3

 

0 < 0² - 3

 

0 < -3

 

Which is not true since zero is greater than -3.  So choice A, (1.0), does not satisfy the inequality.  Try the other 3 choices.  Only one of them will satisfy the inequality.