Monday

December 22, 2014

December 22, 2014

Posted by **tc** on Thursday, January 26, 2012 at 11:01pm.

I am given the parabola y=x^2+6x+5

I do not want the answer.. Just please explain to me how to solve for it. what method do I use???

- MATH -
**Anonymous**, Friday, January 27, 2012 at 6:16amA parabola which opens up has a lowest point and a parabola which opens down has a highest point.

The highest or lowest point on a parabola is called the vertex.

This point, where the parabola changes direction, is called the "vertex".

To determine the vertex of the graph of a quadratic function:

f(x) = a x ^ 2+ b x + c

we can either:

1) Use the method of completing the square to rewrite the function in the form:

f(x) = a ( x - h ) ^ 2 + k

The vertex poit is a point with coordinates: (h, k)

x coordinates of the vertex = h

y coordinates of the vertex = k

OR

2) Use the formula:

x coordinates of the vertex = - b / 2a

y coordinates of the vertex = f ( x ) = c - b ^ 2 / 4a

The axis of symmetry is a vertical line through the vertex.

The equation of the axis of symmetry is the equation of the vertical line passing through x and y coordinate of the vertex:

The equation of the axis of symmetry:

x = x coordinate of the vertex

For each value of y

x = - b / 2a

- MATH -
**Anonymous**, Friday, January 27, 2012 at 6:20amy coordinates of the vertex = f ( x ) = f ( x = - b / 2a ) = c - b ^ 2 / 4a

**Answer this Question**

**Related Questions**

math help,algebra - Okay this is what i have to do but i think i am doing ...

Algebra - Can you please help me with the following problems? Find the ...

Algebra Problems - Please check my answers. Find the coordinates of the vertex ...

Algebra - Please check my answers. Find the coordinates of the vertex for the ...

Algebra - Please check my answers. Find the coordinates of the vertex for the ...

Algebra - I'm trying this again, I'd like the quadratic form, so i can then work...

MATH - f(x)=2x^2-4x how do you find the x and y intercepts? Are these answers ...

algebra - 1)Find the exact solutions to 3x^2=5x-1 using the quadratic formula. ...

Algebra,Math, graphs help - This is what the directions state to do: (A) ...

Algebra - Hiya! I have a function here: y = x^2 - 4x - 32 I have some questions ...