SOLUTION: Find the axis of symmetry. y = x^2 � x � 8 My answer that I got is x=1 Is that correct?

Question 84352: Find the axis of symmetry.
y = x^2 � x � 8
My answer that I got is x=1
Is that correct?
Found 3 solutions by tutor_paul, bucky, Edwin McCravy:
Answer by tutor_paul(519)   (Show Source): You can put this solution on YOUR website!
You find the axis of symmetry from:

=========================
See the graph below:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=33 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3.37228132326901, -2.37228132326901. Here's your graph:

Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!
There are several ways that you can find the value of x that represents the axis of symmetry.
.
One of these ways is to get the quadratic equation in the form that you need to apply the
quadratic formula. That form is:
.

.
Then recognize that the axis of symmetry is determined by that term of the of the answer to
the quadratic equation that is:
.

.
In this case, by comparing the quadratic expression of the problem:
.

.
with the standard quadratic form:
.

.
you can see that a = 1, b = -1, and c = -8. Substitute the appropriate values here into:
.

.
and you get:
.

.
So the answer to this problem is that the equation for the line of symmetry is:
.

.
Hope that this clarifies the significance of the first term in the quadratic formula:
.

.
It is the axis of symmetry about which the answers are equally spaced in both the + and
the - directions.
.

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

Find the axis of symmetry. y = x� � x � 8 My answer that I got is x=1 Is that correct? No. the equation of the axis of symmetry of y = ax� + bx + c is the vertical line whose equation is x = In your problem, whixch is the same as y = 1x� - 1x - 8 a = 1, b = -1 and c = -8 x = x = Edwin

RELATED QUESTIONS
I'm not sure the answer I got for this is right. Find the vertex and axis of symmetry... (answered by stanbon)
Hi! I believe this is the correct category. For some reason my answers are not matching... (answered by jim_thompson5910,Alan3354,ewatrrr,stanbon)
``Find an equation of the ellipse that has center (5,-4) , a minor axis of length 8 ,... (answered by MathLover1)
Solve. (x � 1)� = 6 My answer that I got is +-SQRT22 Is that... (answered by Edwin McCravy)
{{{(x+3)^2=-8(y-5)}}}. How do I find P for this problem? I know that its from the... (answered by lwsshak3)
For this formula find the (a)vertex; (b)axis of symmetry;(c)determine whether there is a... (answered by nabla)
19. Find the constant term that should be added to make the following expression a... (answered by stanbon)
Given y=9x^2-6x+3, What is the equation of the axis of symmetry? a)x=2/3 b)x=-1/3... (answered by solver91311)
Find the axis of symmetry.... (answered by stanbon)