11.6+OFSA

OFSA for Conics B (Partial)
This page contains peer generated questions that help you assess your understanding. Remember that questions may not represent the rigor of the questions you may be expected to complete on formal assessments. This page is simply an OFSA - opportunity for self assessment.

A: math y=-\sqrt{16-x^2}+3 math B: math x=-\sqrt{16-(y-3)^2} math C: math x=-\sqrt{16-y^2}+3 math D: math x=\sqrt{16-y^2}+3 math
 * Question 1**
 * What is the equation for this graph?:**

Click here for solution.

A: math y=\frac{2}{3}\sqrt{(x+2)^2-4} math B: math y=\frac{3}{2}\sqrt{(x+2)^2-4} math C: math y=\frac{3}{2}\sqrt{(x+2)^2-9} math D: math y=\frac{3}{2}\sqrt{4+(x+2)^2} math Click here for solution.
 * Question 2**
 * What is the equation for this graph?:**

math x=4csc(t), y= 2cot(t), 0 math x=4csc(t), y= 2cot(t), 0 A: math \frac{x^2}{4}-\frac{y^2}{16}=1 math B: math \frac{x^2}{16}+\frac{y^2}{4}=1 math C: math \frac{x^2}{16}-\frac{y^2}{4}=1 math D: math \frac{y^2}{4}-\frac{x^2}{16}=1 math Click here for solution.
 * Question 3**
 * The Parametric equation:**
 * is equal to which equation?**


 * Question 4**
 * What type of graph does this equation make:**

math \[y=-\frac{3}{5}\sqrt{25-x^{2}}\] math

A: Right half of an ellipse B: Top half of a hyperbola C: Bottom half of an ellipse D: Bottom half of a circle

Click here for solution.


 * Question 5**
 * What is the number in front of the radical for the equation of this graph?**

A: 1 B: 1/3 C: 5/4 D: 1/2

Click here for solution.


 * Question 6**
 * Which direction does the graph of this equation open up, and what portion of the graph is used?**

math \[y=\frac{2}{5}\sqrt{(x-3)^{2}-25}\] math

A: Opens North-South, and uses right portion B: Opens East-West, and uses left portion C: Opens North-South, and uses bottom portion D: Opens East-West, and uses top portion

Click here for solution.


 * Question 7**
 * What type of conic created by the following equation?**

math \[x=2\sqrt{25+y}+4\] math

A.) The top half of a parabola B.) The bottom half of a parabola C.) The left half of a parabola D.) The right half of a parabola

Click here for solution.


 * Question 8**
 * Which of the following is the equation of an ellipse?**

A.) math \[\frac{x^{2}}{4}-\frac{y^{2}}{9}=1\] math B.) math \[x=y^{2}-4\] math C.) math \[\frac{x^{2}}{4}+\frac{y^{2}}{9}=1\] math D.) math \[\frac{y^{2}}{9}+\frac{x^{2}}{9}=1\] math

Click here for solution.


 * Question 9**
 * How does vertical shifting of a hyperbola get affected in the following equation?**

math \[\frac{(x-c)^{2}}{a^{2}}-\frac{(y-d)^{2}}{b^{2}}=1\] math

A.) a B.) b C.) c D.) d

Click here for solution.


 * Question 10**
 * What type of graph does this equation make?**
 * y=3sqrt(4+x^2)**

A.) Bottom half of ellipse B.) Right half of ellipse C.) Top half of Hyperbola D.) Right half of Hyperbola Click here for solution.

A.) 2/9 B.) 9/2 C.) 9 D.) do not exist Click here for solution.
 * Question 11**
 * What is the slope of the asymptotes in the graph from problem 10, If they exist?**

A.) 42 B.) x=sqrt((-25/16)*y) C.) y=sqrt((-25/16)*x) D.) (x^2)/25 + (y^2)/16 = 1 Click here for solution.
 * Question 12**
 * Find the equation of a semi-ellipse with an eccentricity of 9/25 and the focus at (9,0) (Only right side)**

Click here for solution.
 * Question 13**

Click here for solution.
 * Question 14**

Click here for solution.
 * Question 15**

Click here for solution.
 * Question 16**

Click here for solution.
 * Question 17**

Click here for solution.
 * Question 18**

Click here for solution.
 * Question 19**

Click here for solution.
 * Question 20**

Click here for solution.
 * Question 22**

Click here for solution.
 * Question 23**

Click here for solution.
 * Question 24**