SOLUTION: Identify the vertex, axis of symmetry, and direction of opening for: y=1/2(x-8)^2+2. Thanks

Algebra.Com
Question 42088: Identify the vertex, axis of symmetry, and direction of opening for:
y=1/2(x-8)^2+2.
Thanks

Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!
Identify the vertex, axis of symmetry, and direction of opening for:
y=1/2(x-8)^2+2.
(X-8)^2=2(Y-2)
STD EQN.IS
(X-H)^2=4A(Y-K)
WHERE H,K IS VERTEX..SO..H=8...K=2...SO..(8,2) IS VERTEX
AXIS OF SYMMETRY IS X=H...OR....X=8
SINCE Y IS MINIMUM AT X=8,WE HAVE VERTEX AT THE BOTTOM AS A TROUGH.SO DIRECTION OF OPENING IS UPWARDS

RELATED QUESTIONS

Identify the vertex, axis of symmetry, and direction of opening for... (answered by stanbon)
Identify the vertex, axis of symmetry, and direction of opening for: y=1/2(x-8)^2+2. (answered by psbhowmick)
Identify the vertex , axis of symmetry, and direction of opening for y=2(x+3)^2-5.... (answered by Nate,venugopalramana)
what is the vertex, axis of symmetry, and direction of opening for... (answered by lwsshak3)
Parabolas: Write each question in standard form. Identify the vertex, axis of symmetry... (answered by lwsshak3)
how do you find the vertex, axis of symmetry, and direction of the opening of the... (answered by ewatrrr)
I'm not sure if this is the right section. I have two question's with no textbook. 1.... (answered by jim_thompson5910)
I have two questions. 1. Identify the vertex, axis of symmetry, and direction of... (answered by vleith)
Identify the vertex, axis of symmetry , y-intercept, x-intercepts, and opening of each... (answered by josgarithmetic)