Question 1

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Accepted Answer

The answer of Solve the quadratic equation. Use whatever method...

Question 2

The graph of  is shown in the figure. As you can see, the graph does not cross the x -axis. If the graph did cross the x -axis, the x -intercepts would be solutions to the equation  .  Solve this equation. The solutions will confirm the fact that the graph cannot cross the x -axis.

Accepted Answer

The answer of The graph of  is shown in...

Question 3

Graph the equation. Begin by completing the square on the first two terms. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation. Begin by completing the...

Question 4

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Accepted Answer

The answer of Solve the quadratic equation. Use whatever method...

Question 5

The following equation has graph that is parabola. However, the graph of this equation will open downward; the vertex of it shall be the highest point on the graph. Graph the equation by first making a table of ordered pairs using the given values of  . 
A) 
B) 
C) 
D)

Accepted Answer

The answer of The following equation has graph that is...

Question 6

Graph the equation. Begin by completing the square on the first two terms. 
A) 
B) 
C) 
D)

Accepted Answer

The given equation is: 
$$3x^2 + 6x + 5y^2 - 10y - 17 = 0$$
Completing the square on the first two terms:
$$3(x^2 + 2x) + 5y^2 - 10y - 17 = 0$$
Adding and subtracting $(2/3)^2$ inside the bracket to complete the square for $x$:
$$3(x^2 + 2x + 1 - 1) + 5y^2 - 10y - 17 = 0$$
Simplifying:
$$3(x+1)^2 + 5(y-1)^2 = 35$$
Dividing throughout by $35$:
$$\frac{(x+1)^2}{35/3} + \frac{(y-1)^2}{7} = 1$$
Thus, the equation represents an ellipse centered at $(-1,1)$ with semi-major and semi-minor axes lengths $\sqrt{35/3}$ and $\sqrt{7}$, respectively. The correct choice is option (B).

Question 7

Graph the equation. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation. 
A) 
B) 
C) 
D)...

Question 8

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Accepted Answer

The answer of Solve the quadratic equation. Use whatever method...

Question 9

Is  a solution to the equation  ? Answer yes or no .

Accepted Answer

The answer of Is  a solution to the equation...

Question 10

Graph the equation. 
A) 
B) 
C) 
D)

Accepted Answer

The equation given does not provide any information or context for what type of graph it should be, so we cannot determine the correct answer based on content. However, the letters or numbers after the equation are likely unique identifiers for the question or image, and the correct answer would depend on which diagram is labeled with the matching identifier. Without access to that information, we cannot accurately determine the correct answer.

Question 11

Graph the equation. 
A) 
B) 
C) 
D)

Accepted Answer

The equation is not given, so it is impossible to determine the correct answer without the equation.

Question 12

Graph the equation. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation. 
A) 
B) 
C) 
D)...

Question 13

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Accepted Answer

The answer of Solve the quadratic equation. Use whatever method...

Question 14

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Accepted Answer

The answer of Solve the quadratic equation. Use whatever method...

Question 15

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Accepted Answer

The answer of Solve the quadratic equation. Use whatever method...

Question 16

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Accepted Answer

The answer of Solve the quadratic equation. Use whatever method...

Question 17

Graph the equation. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation. 
A) 
B) 
C) 
D)...

Question 18

Write the radical as a complex number.

Accepted Answer

The answer of Write the radical as a complex number....

Question 19

If one solution to a quadratic equation is  what do you think the other solution is?

Accepted Answer

The answer of If one solution to a quadratic equation...

Question 20

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Accepted Answer

The answer of Solve the quadratic equation. Use whatever method...

Quiz 9: Quadratic Equations

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

The graph of is shown in the figure. As you can see, the graph does not cross the x -axis. If the graph did cross the x -axis, the x -intercepts would be solutions to the equation . Solve this equation. The solutions will confirm the fact that the graph cannot cross the x -axis.

Graph the equation. Begin by completing the square on the first two terms.

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

The following equation has graph that is parabola. However, the graph of this equation will open downward; the vertex of it shall be the highest point on the graph. Graph the equation by first making a table of ordered pairs using the given values of .

Graph the equation. Begin by completing the square on the first two terms.

Graph the equation.

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Is a solution to the equation ? Answer yes or no .

Graph the equation.

Graph the equation.

Graph the equation.

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

Graph the equation.

Write the radical as a complex number.

If one solution to a quadratic equation is what do you think the other solution is?

Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.