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 66260: 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 equation for the line of symmetry for the graph of this function?
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) Describe how this graph compares to the graph of y = x2?
Answer:
You can put this solution on YOUR website! 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 equation for the line of symmetry for the graph of this function?
Answer:
The formula is x=h
In this case x=3
:
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.
The vertex is (h,k)=(3,-1)
a=1, so the parabola is of standard width.
Because it's positive it opens upward.
d) Describe how this graph compares to the graph of y = x2?
Answer:
It has the same shape, but is shifted horizontally right 3 units because of the -3 and vertically down 1 unit because of the -1.
Here's the two on the same graph:
Happy Calculating!!!
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