Question

Describe the graph of the function.

y = 9x^2 + 18x – 6

1.) The graph is a parabola with axis of symmetry at x = 1.
2.)The graph is a parabola with axis of symmetry at x = 9.
3.)The graph is a parabola with axis of symmetry at x = 6.
4.)The graph is a parabola with axis of symmetry at x = –1.

Answer 1

this is a second degree equation so its a parabola
now first thing: try to make a square

Answer 2

A square?

Answer 3

yeah like this
\[y=9x ^{2}+18x-6\]
\[y=9(x ^{2}+2x-\frac{ 2 }{ 3})\]
\[y=9[(x+1)^{2}-5/3]\]

Answer 4

now it is of the form
y=A(x-h)^2+k, with (h.k) being the (x,y) coordinates of the vertex.

Answer 5

axis of symmetry: x=A
here A=9
so ur axis of symmetry is x=9
do u get it?

Answer 6

Yes I get it :)

Answer 7

:)