Math 1090.04 Quiz 08
Spring 2013
Student ID Number:
Name
Instructions:
• Please remove headphones and hats during the quiz
• Show all work, as partial credit will be given where appropriate. If no
work is shown, there may be no credit given.
• All final answers should be written in the space provided on the quiz and
in simplified form. When needed give your answer as an exact amount,
i.e., a fraction or symbolic expression like e
, except for dollar amounts
2
which should be rounded to the nearest cent.
• Calculators are not allowed on this quiz.
• If your phone is out during the quiz it will be considered a
cheating offense put your phone away!
-
• When you have completed this quiz, place your homework on top of your
quiz and remain quietly at your desk. All homework and quizzes will be
collected together.
4
06 March 2013
Quiz 08, Page 2 of??
MathlO9O.004
[r
Quadratic Formula
2 + bx + c
(a) Suppose you are given the equatioll ax
equation:
for finding the solutions to this
0. \Vrite the quadratic formula
2 + bt + c
(b) Now suppose you are given the equation at
formula for finding the solutions to this ecluation:
-
2. Given: y
=
2
x
—
2x
—
b±
0. Write the quadratic
-c
1. Graph this parabola by following the steps below:
[ ptl
(a) Transform this equation from standard form to ‘parabola form” by Completing the
Square:
—
•
1
•
-
(x
-
#0
-
I
I
0
0.
Quiz 08
MathlO9O.004
,
Page 3 of??
06 March 2013
(b) Based on the standard form and parabola form of the given equation, fill in the
information below:
Important:You will not be given
any formulas or hints on the exam
Coefficients:
Vertex:
Axis of Symmetry:
y-intercept
Concave Up or Concave Down?
Vertex a Max or Mm?
Stretched or Shrunk Lengthwise?
Width 2 Location
Width 4 Location
c=
;a= —_;h=
;k=
*a
(—i.,o)
(,y) = (h,k) =
—I
x=h=
(x, y) = (0, c) = (0
i)
Ci n cv-e ditxn
-
1
yrk+a= O1
y=Ic+4a= o(-D-h
(c) Graph the parabola on the coordinate plane below:
::::z1iz:zi::
-
:L
*
=
=
—>
L
--7
-
-
-
-
-
-
-
-
I-
‘E
-
-
L:::::::z::
1
:::::::
-l
0
4
C
C
ii
C