SOLUTION: 2) For the function y = x2 - 4x - 5, 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 t
Algebra.Com
Question 53229: 2) For the function y = x2 - 4x - 5, 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) In your own words, describe how this graph compares to the graph of y = x2?
Answer:
Thank You
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
a) You need to make a perfect square trinomial in such a way that you don't change the value of the function. Make sure that if you add anything you also take it away. Right now this is the standard form of a parabola right now.
a)
To find the number that makes a perfect square take
=4 Add 4 to the inside of the parenthesis and take 4 away from the outside of the parenthesis.
Now the parenthesis has a perfect square:
Now this is the vertex form of a parabola!
-----------------------------------------------------------
b) puts the parabolic function in a form that makes the vertex and the axis of symmetry easy to see.
The vertex is (h,k)
the axis of symmetry is x=h
In our case h=2, so our axis of symmetry is x=2.
----------------------------------------------------------------
c) Plot the vertex and y intercept (if it's in a reasonable place), if your asked for more points add and take away 1 from the axis of symmetry and plu that into your function to find the y-values.
Vertex=(2,-9)
------------------
y-int: y=(0-2)^2-9
y=4-9=-5
(0,-5)
---------------------------------------------------
d) It's shifted right two units and down 9 units. Observe:
RELATED QUESTIONS
For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in... (answered by Earlsdon)
For the function y=x^2 -4x-5 perform the following tasks:
Put the function in the... (answered by stanbon)
For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in (answered by jim_thompson5910)
For the function y = x2 - 6x + 8, perform the following tasks:
Put the function in the (answered by galactus)
I'm having a hard time with this problem. Please help!
2) For the function y = x2 - (answered by Nate,stanbon)
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the... (answered by venugopalramana)
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function (answered by venugopalramana)
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function (answered by stanbon)
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function (answered by stanbon)