SOLUTION: For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.
b) What is the
Question 46964: For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.
b) What is the line of symmetry?
Answer:
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?
Answer:
You can put this solution on YOUR website! a) Put the function in the form y = a(x - h)2 + k.
y = x^2 - 6x + 8
v(-b/2a,f(x))
v(3,-1) so h = 3 and k = -1
a = 1 while b = -6 and c = 8
b) What is the line of symmetry?
Since the parabola is vertical, the line of symmetry is equal to the x-term in the vertex.
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. in terms:
vertex(h,k)
(distance from vertex to focus or from vertex to directrix = =
Latus Rectum (distance touching the parabola going through the focus) = |1/a| = 1
d) In your own words, describe how this graph compares to the graph of y = x2?
They are both parabolas. They both have the same value for 'a'. has a different vertex. The Latus Rectum and distances are the same.
(