MAT 136 Southern New Hampshire University 6_3 Problem Set Module Six

4/10/2021 Southern New Hampshire University - 6-3 Problem Set: Module Six




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MAT-136-H7409 21EW4 Intro to Quantitative Analysis, 6-3 Problem Set: Module Six
Briana Tattersall, 4/10/21 at 10:04:25 PM EDT




Question1: Score 4/8

Rewrite the quadratic function in vertex form (which our OpenStax textbook also calls the standard
form) and give the vertex.


2
f (x) = x − x




f (x) =


Your response Correct response
(x-1/2)^2-1/4 (x-1/2)^2-1/4
Auto graded Grade: 2/2.0 




Enter your answer as a point (a, b).


Vertex:

Your response Correct response
(1/2, -1/4) (1/2, -1/4)
Auto graded Grade: 1/1.0 




Show your work and explain how you arrived at your answers.




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, 4/10/2021 Southern New Hampshire University - 6-3 Problem Set: Module Six



Using the quadratic equation: a=1 b=-1 and c=0
Find the horizontal and vertical coordinate of the vertex:
h=-b/2a
=-(-1)/2(1)
=1/2 (horizontal)
k=f(h)
=f(1/2)
=(1/2)^2-1(1/2)
=-1/4 (vertical)
Vertex - (1/2,-1/4)
when these are plugged in to the quadratic equation:
f(x) = (x-1/2)^2-1/4



Ungraded Grade: 0/3.0




 Total grade: 1.0×2/6 + 1.0×1/6 + 0.0×3/6 = 33% + 17% + 0%
Feedback:

For the quadratic equation f (x) = x2 − x , a = 1, b = −1 , and c = 0.


First, find the horizontal coordinate of the vertex.


b
h = −
2a


(−1)
= −
2(1)


1
=
2




Second, find the vertical coordinate of the vertex.


k = f (h)


1
= f( )
2


2
1 1
= ( ) − 1( )
2 2


1
= −
4



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