Algebra 222 week 4 Quiz
Algebra 222 week 4 Quiz
CLOSE WINDOW
Week 4: Quadratic Equations and Functions, Date Submitted: 10/26/2014
1. Finding the roots of a quadratic equation with leading coefficient 1
Solve for y .
=+y2−3y40
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."
You answered correctly:
=y− 4,1
2. Finding the roots of a quadratic equation with leading coefficient greater than 1
Solve for v .
=2v2+3v2
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."
You answered correctly:
=v− 2,-1/2
3. Completing the square
Fill in the blank to make the expression a perfect square.
+−w26w
You answered correctly:
+−w26w 9
2x2 - 7x+1=0
You answered correctly: x =7+41/4, 7-/41/4
4. Applying the quadratic formula: Exact answers
Use the quadratic formula to solve for x .
2x2-7x-1=0
You answered correctly: x =7+41/4, 7-41/4
5. Writing a quadratic equation given the roots and the leading coefficient
Write the quadratic equation whose roots are
−1
and
3
, and whose leading coefficient is
2
.
(Use the letter x to represent the variable.)
The correct answer is:
2x2−4x-6=0
6. Discriminant of a quadratic equation
Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
=+−2x2−2x30
You answered correctly:
Discriminant
=−20
Number of real solutions
=0
7. Graphing a parabola of the form y = ax2
Graph the parabola.
=y−34x2
To graph the parabola, plot the vertex and four additional points, two on each side of the vertex. Then click on the graph icon.
You answered:
The correct answer is:-2,0,+2 x -2
-4
-6
-8
2
4
6
8
y
-2
-4
-6
-8
2
4
6
8
8. Graphing a parabola of the form y = (x-a)2 + c
Graph the parabola.
=y++x125
To graph the parabola, plot the vertex and four additional points, two on each side of the vertex. Then click on the graph icon.
The correct answer is: Y 7
CLOSE WINDOW
Week 4: Quadratic Equations and Functions, Date Submitted: 10/26/2014
1. Finding the roots of a quadratic equation with leading coefficient 1
Solve for y .
=+y2−3y40
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."
You answered correctly:
=y− 4,1
2. Finding the roots of a quadratic equation with leading coefficient greater than 1
Solve for v .
=2v2+3v2
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."
You answered correctly:
=v− 2,-1/2
3. Completing the square
Fill in the blank to make the expression a perfect square.
+−w26w
You answered correctly:
+−w26w 9
2x2 - 7x+1=0
You answered correctly: x =7+41/4, 7-/41/4
4. Applying the quadratic formula: Exact answers
Use the quadratic formula to solve for x .
2x2-7x-1=0
You answered correctly: x =7+41/4, 7-41/4
5. Writing a quadratic equation given the roots and the leading coefficient
Write the quadratic equation whose roots are
−1
and
3
, and whose leading coefficient is
2
.
(Use the letter x to represent the variable.)
The correct answer is:
2x2−4x-6=0
6. Discriminant of a quadratic equation
Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
=+−2x2−2x30
You answered correctly:
Discriminant
=−20
Number of real solutions
=0
7. Graphing a parabola of the form y = ax2
Graph the parabola.
=y−34x2
To graph the parabola, plot the vertex and four additional points, two on each side of the vertex. Then click on the graph icon.
You answered:
The correct answer is:-2,0,+2 x -2
-4
-6
-8
2
4
6
8
y
-2
-4
-6
-8
2
4
6
8
8. Graphing a parabola of the form y = (x-a)2 + c
Graph the parabola.
=y++x125
To graph the parabola, plot the vertex and four additional points, two on each side of the vertex. Then click on the graph icon.
The correct answer is: Y 7