Question

Which graph represents the solution set of y= x2 + 4x + 3 and y= 2x + 6?

O A. graph A
OB. graph B
OC. graph C
OD. graph D

Answer 1

The graph in the attached figure

Explanation:

we have

`y=x^2+4x+3` ----> equation A

This is a vertical parabola open upward

The vertex represent a minimum

The y-intercept is the point (0,3)

`y=2x+6` -----> equation B

This is the equation of the line

The slope of the line is positive

The y-intercept is the point (0,6)

The x-intercept is the point (-3,0)

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution are the points (-3,0) and (1,8)

The graph in the attached figure