**Q2: **

The figure shows the curve , the dashed line , and its perpendicular .

Determine the coordinates of the two intersections and .

- A ,
- B ,
- C ,
- D ,
- E ,

The vertex of this parabola lies where the line meets the parabola at exactly one point.

What is the value of ? What are the coordinates of the vertex?

- A , vertix:
- B , vertix:
- C , vertix:
- D , vertix:
- E , vertix:

The vertex also lies on the line of symmetry , which is present in the equation. It turns out that the equation gives a parabola whose axis of symmetry is parallel to .

By completing the square and rewriting this as , determine what the new axis of symmetry is. What is the value of the constant ?

- A ,
- B ,
- C ,
- D ,
- E ,

By determining , such that , complete the squares and rewrite as . What is this expression? What is the vertex of the parabola?

- A ,
- B ,
- C ,
- D ,
- E ,

**Q3: **

A parabola has an equation .

Find the coordinates of the vertex.

- A
- B
- C
- D
- E

Determine the equation of the directrix.

- A
- B
- C
- D
- E

**Q4: **

Consider the parabola with Cartesian equation .

What are the coordinates of its focus?

- A
- B
- C
- D
- E

Write the equation of its directrix.

- A
- B
- C
- D
- E

**Q5: **

Find the vertex of the graph of .

- A
- B
- C
- D
- E

**Q6: **

Consider the parabola with the Cartesian equation .

What are the coordinates of the focus of the parabola with the Cartesian equation ?

- A
- B
- C
- D
- E

Write the equation of its directrix.

- A
- B
- C
- D
- E

**Q7: **

Find the vertex of the graph of .

- A
- B
- C
- D
- E

**Q8: **

Find the point of symmetry of the curve of the function .

- A
- B
- C
- D

**Q9: **

Find the vertex of the graph of .

- A
- B
- C
- D
- E

**Q10: **

Consider the curve shown below.

Which suitable triple , , would make this the graph of ?

- A
- B
- C
- D
- E

**Q11: **

Find the vertex of the graph of .

- A
- B
- C
- D
- E

**Q12: **

Find the vertex of the quadratic equation .

- A
- B
- C
- D
- E

**Q13: **

Suppose that for some constant . What is the -coordinate of the vertex of parabola ?

- A
- B
- C
- D
- E

**Q14: **

A parabola has the equation .

What are the coordinates of its focus?

- A
- B
- C
- D
- E

Write an equation for its directrix.

- A
- B
- C
- D
- E

**Q15: **

Write an equation for the parabola whose focus is the point and whose directrix is the line .

- A
- B
- C
- D
- E

**Q16: **

Consider a parabola described by the parametric equations , , .

What are the coordinates of the focus?

- A
- B
- C
- D
- E

What is the equation of the directrix?

- A
- B
- C
- D
- E

**Q17: **

The figure shows the curve , the dashed line , and its perpendicular .

Determine the coordinates of the two intersections and .

- A ,
- B ,
- C ,
- D ,
- E ,