Question

A function is defined by the equation y = x^2 + 3x + 1. Which statements are true? Select all that apply.

The equation written in vertex form is y=(x+32)2−54
.
B. The equation written in vertex form is y=(x+54)2−32
.
C. The graph of the function has a minimum of y=−54
at x=−32
.
D. The domain of the function is all real numbers.

Answer 1

Hi,

A and D are true.

Explanation:

`y=x^2+3x+1\\\\=x^2+2*(3)/(2) x+{((3)/(2) )}^2-(9)/(4)+1 \\\\\boxed{y=(x+(3)/(2))^2-(5)/(4) }\\`