Question 66213: For the function y = x2 - 6x + 8, perform the following tasks:
Put the function in the form y = a(x - h)2 + k.
What is the equation for the line of symmetry for the graph of this function?
Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
In your own words, describe how this graph compares to the graph of y = x2?
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! Function y = x2 - 4x - 5, perform the
following tasks:
a) Put the function in the form y = a(x - h)2 + k.
b) What is the line of symmetry?
c) Graph the function using the equation in part
a. Explain why it is not necessary to plot points to
graph when using y = a (x – h)2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares
to the graph of y = x2?
1 solutions
Answer 13849 by venugopalramana(1619) About Me on
2006-01-28 11:20:53 (Show Source):
Y=X^2-4X-5={(X-2)^2-4-5}=(X-2)^2-9
COMPARING WITH THE GIVEN EQN .
y=a(x-h)^2+k,WE INFER THAT
A=1,H=2 AND K=-9....THE LINE OF SYMMETRY IS X-2=0 AS
YOU WILL GET SAME VALUE OF Y WHETHER X-2=+4 SAY OR
-4...NAMELY,Y=7.
COMPARISON WITH Y=X^2 IS SHOWN BELOW
YOU CAN SEE THAT LINE OF SYMMETRY IS X=0 HERE.
ALSO THE MINIMUM VALUE OR VERTEX AT 0,0 IN CASE OF
Y=X^2,WHERE AS IT WAS AT (2,-9)
FOR THE GIVEN EQUATION
|
|
|
