How to graph : x^2+6x+9=0

Question

Algebra 1 Ariana Moon 8th Grade

Answer 1

factored it's (x+3)^2

with a repetitive root at x=-3

that's the vertex or minimum point of a parabola (-3,0)

It's an upward opening parabola with y intercept = 9 or (0,9). the point (-6,0) is also on the parabola

plot those 3 points and draw a smooth curve through them in a parabolic shape.

line of symmetry is x=-3

Answer 2

How to graph : x^2+6x+9=0

Hello,

Factoring: (3 x 3) =9 and (3 + 3) = 6

Yay we found our factors now split them up into Two Parenthesis.

(X + 3) (X + 3 ) this will give the root but not graph the parabola.

X+3=0 X= -3 - the roots or x-intercepts

The root tell where the parabola will intercept the x axis.

To graph use a table of values: Input x, Output y: (x,y) creates a point to graph.

I always tell my students to use -2,-1,0,1,2 as the Input(x).

Input each x value to get 5 y values, then plot all points