Please see the attached file for the fully formatted problems.
Sample #1
Sample #2
Sample #3
Find the roots of the quadratic equation:
.
(If there is more than one root, separate them with commas.)
Sample # 4
Solve the equation

for .
(If there is more than one solution, separate them with commas.)

Sample # 5
Solve where is a real number.
Simplify your answer as much as possible.
(If there is more than one solution, separate them with commas.)

Sample #6
Solve the following equation for by using the quadratic formula:
.
(If there is more than one solution, separate them with commas.)

Sample #7

Sample # 8
Find all real or imaginary roots of .
(If there is more than one root, enter additional roots with the or icon.)

Sample #9
Find the -intercept(s) and the coordinates of the vertex for the parabola . If there is more than one -intercept, separate them with commas

Sample # 10
Graph the parabola:
.
To graph the parabola, plot the vertex and four additional points, two on each side of the vertex, and then click on the graph icon.

Graph the parabola using the quadratic formula. (2-(-2)^)^ - 5 x 4. ... The expert graphs the parabola from this case using the quadratic formula. (2-(-2)^)^ - 5 x 4 ...

... The solution shows how to solve the quadratic equations and graph and find the domain of ... determine whether the parabola opens up or down y = -1/2x^2 + 3. ...

... root with multiplicity 3. When we have The graph is the ... 3. The general form of a quadratic function is: ... In our case the vertex is , hence our parabola has the ...

... quantity in the real number system, the quadratic formula fails. ... has no real roots and so the graph of y ... Also, the fact that the parabola opens upwards means ...

... 3) x-intercept: substituting and solving the quadratic equation: ... Range: The parabola opens up because the coefficient ... both sides of -1 to graph the symmetric ...

... 2 10. y=4x Quadratic equations and inequalities. ...Graph each function and state the domain and range. 8. Y = 0.3x. 0.9 3. ...parabola -3 0 1 5. -15 -16. ...

... 2. Look at the graph below and comment on the sign ... But that's not really solving a quadratic equation, is it ... Again, we have a parabolic arc, so the height above ...

... All the graphs depict parabolas, so none of the graphs is the correct one (the answer is e). 19. Write quadratic equations for which the following are ...