SOLUTION: Hello, This is my first time on this site, but I have heard that you help students with problems, and that it provide a better understanding I was wondering if you could help me

Question 247953: Hello,
This is my first time on this site, but I have heard that you help students with problems, and that it provide a better understanding I was wondering if you could help me with two problems.
I do not know how it works but here goes.
I am suppose to solve this problem without a graph, the instruction state that I need to find the minimum value of the following expression:
F(x)=(x-1)^2+1

On the next problem I do not need a graph but I need to find the line of symmetry for the following expression:
F(x)=6(x+2*sqrt5)^2-16.26
Again, if you can help me I do appreciated you kindness. A friend gave me your website I hope it okay.
Thank you
Sammie Ellis

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I am suppose to solve this problem without a graph, the instruction state that I need to find the minimum value of the following expression:
F(x)=(x-1)^2+1
Your equation is in the form y = a(x-h)^2+k
(h,k) is the vertex and is a minimum point if a is positive.
-----
Your problem:
a = 1; h = 1, k = 1
Vertex: (1,1) is the minimum point.
y = 1 is the minimum value for y.
--------------------------------------------

On the next problem I do not need a graph but I need to find the line of symmetry for the following expression:
F(x)=6(x+2*sqrt5)^2-16.26
The form is again y = a(x-h)^2 + k
where -h = 2sqrt(5) and k = -16.26 and a = 6
--------------------------
h = -2sqrt(5)
The axis of symmetry for quadratics in this form is always x = h
Your axis of symmetry is x = -2sqrt(5)
===========================================
Cheers,
Stan H.

RELATED QUESTIONS
I have a ball that is 14 inches in diameter. It has a circumference of 44 inches. I want (answered by josmiceli)

Hello - I am working on math superstars for fifth graders. The problem follows:... (answered by stanbon)

I really need help with this. A driving school has 600 trainees. On one particular day,... (answered by macston)

Hi, this is my first time coming to this site, and I need help with a question on my Math (answered by Earlsdon)

Hello, a friend of my (Louie) told me (or rather half the class) that this site is great... (answered by jim_thompson5910)

hello, i'm really confused how to start off this equation; i've been told that i have to... (answered by richwmiller)

Given the root 5+2i find all roots of the equation x^3-7x^2-x+87=0 This is my first... (answered by Edwin McCravy)

ok i have tried to keep up with my class. i go to an online high school and its hard for... (answered by ankor@dixie-net.com)

This is my first time using this site, so I apologize ahead of time if I do something... (answered by stanbon)