what is math concept in quadratic relation y=2(x+1)(x+3) ?

Question

what is math concept , action taken, strategies and model representation has been used in quadratic relation y=2(x+1)(x+3) ?

Answer 1

A quadratic relation means y=ax²+bx+c

y=2x²+8x+6

Answer 2

Let's put this relation in y=ax²+bx+c form

 

y = 2(x² + 4x + 3)

 

y = 2x² + 8x + 6

 

 

As you probably know, this is a parabola because the degree of the function is 2.   If you increase the x values in the function, the y values decreases, then increases after a certain point.  To prove this, just graph the function and you will see that the graph makes a curve.