Posted by **Erin** on Saturday, November 7, 2009 at 10:55pm.

17-Identify the vertex, axis of symmetry and x-intercept(s) of F(x)=(x+5)^2-6. I have no idea how the x intercepts are -5 +/- sq. root 6 and 0. can you show me how this came to be? I factored it so it would be x^2+10x+19, but there's no common factors in ten and 19. Can you show me, please?

- Algebra -
**Reiny**, Saturday, November 7, 2009 at 11:07pm
for the x-intercepts, F(x) = 0. (the y = 0)

so (x+5)^2-6 = 0

(x+5)^2 = 6

x+5 = ± √6

x = -5 ± √6

You expanded the function, you did not factor it.

Once you get x^2 + 10x + 19 = 0,

if you use the formula and simplify the answer, it comes out the same as my answer.

I have no idea where you got the 0, a parabola can have at most 2 x-intercepts.

## Answer This Question

## Related Questions

- Algebra - Identify the vertex and the axis of symmetry for the graph of y=5(x-2...
- math, algebra,graphs help - THe directions state: (A)Complete the table, (B) ...
- MathHELP! - How do I show my work as to identify the vertex, axis of symmetry, ...
- math - Let y=3(x-4)^2 -3 a) Show that y=3x^2 -24x +45 b) For the graph of y find...
- Algebra,Math, graphs help - This is what the directions state to do: (A) ...
- Algebra - All parabolas are symmetric with respect to a line called the axis of ...
- Algebra - Hiya! I have a function here: y = x^2 - 4x - 32 I have some questions ...
- algebra - 1)Find the exact solutions to 3x^2=5x-1 using the quadratic formula. ...
- Algebra - I have to find the vertex, axis of symmetry, and x intercepts of x^2-x...
- college algebra - graph the function and state the vertex axis of symmetry, the ...

More Related Questions