[PRINT]
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.
https://snhu.mobius.cloud/modules/gradeProctoredTest.Login 1/10
, 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
https://snhu.mobius.cloud/modules/gradeProctoredTest.Login 2/10