Posted by **John** on Wednesday, September 15, 2010 at 8:13pm.

f(x) = x^2 + 10x + 24

=(x^2 + 10x)+ 24

=(x^2 + 10x + 25 - 25) + 24

f(x) =(x+5)^2 - 1

Vertex: (-5, -1)

How do you sketch this? I know that in the graph one of the coord is (-5, -1) but how do I find the others in order to make a parabola? :|

- math -
**MathMate**, Wednesday, September 15, 2010 at 11:59pm
Factorize to get the zeroes:

f(x)=x²+10x+24=(x+6)(x+4)

Therefore the zeroes at at x=-6, x=-4.

The y-intercept is y=24 (= constant term)

The coefficient of x² is positive, so the curve is concave upwards.

The vertex is the minimum of the parabola, and x=-5 passing through the vertex is the axis of symmetry.

That should give enough information to sketch the graph?

## Answer This Question

## Related Questions

- Math - Find the equation of the tangent line 5x^2+y^2=14 at (1,3). P.S: It's ...
- how about his one - -7+ 5x = 10x-2? im not sure I know its -1, but im not sure ...
- math - 1. Gina wrote this system of linear equations: 2x + y = 7 4x + 5y = 11 ...
- Intermediate Algebra - Determine whether the point (1, 8) is a solution of the ...
- MATH - 5x-4y= -3 2x + 7y= 5 How to solve this linear system shown above by using...
- Math - Rewrite the expression using the Distributive Property. 5(2x-8) a. -30x b...
- Algebra I - Thanks Reiny, but I'm still lost. I understand how you multipled by ...
- algebra - Gina wrote this system of linear equations: 2x + y = 7 4x + 5y = 11 ...
- math help pls pls pls - Choose the polynomial written in standard form. x^3y^2...
- Pre-algebra - Solve. 29x – 2(9x – 0.455) = 10x + 0.525 Give us you thinking on ...

More Related Questions