Question

How do I graph \[3(x+3)^2+3\] without using a graphing calculator?

Answer 1

\[3(x+3)^2+3 \implies 3 \times (x + 3)(x+3)+3\]
Use FOIL:
\[3 \times (x^2+6x+9)+3\]
Multiply using distributive property(simplify):
\[3x^2+18x+30\]

Now how do I graph that?
\[y = mx + c~?\]

Answer 2

use a table of values... and a little knowledge

its a concave up parabola with a vertex at (-3, 3)

so the parabola is postive definite... meaning no zeros

hope this helps

Answer 3

It did, thank you very much sir :-).