I need drawing of questions 34

let's get this drawing done.

Here is a description of the drawing for question 34, "Construct a parabola given the focus and directrix."

Drawing Description:

1. Directrix: Draw a horizontal line. Label it $D$ on the left and $D'$ on the right. This is the directrix.
2. Focus: Mark a point $F$ somewhere above the directrix. This is the focus.
3. Axis: Draw a vertical line passing through $F$ and perpendicular to the directrix. Label this line the axis. Let the point where the axis intersects the directrix be $K$.
4. Vertex: Find the midpoint of the segment $FK$. Mark this point and label it $V$. This is the vertex of the parabola.
5. Construction Lines:
   • Choose a point $P_1$ on the axis above $V$. Draw a horizontal line through $P_1$ parallel to the directrix.
   • Measure the distance from $K$ to $P_1$ (this is the distance from the directrix to $P_1$). Let this distance be $d_1$.
   • With $F$ as the center and a radius equal to $d_1$, draw arcs that intersect the horizontal line through $P_1$. Label these intersection points $Q_1$ and $Q'_1$. These points are on the parabola.
   • Repeat this process for at least two more points ($P_2, P_3$) on the axis, further away from $V$. For each point, draw a parallel line, measure the distance from the directrix, and use that distance as a radius from $F$ to find intersection points ($Q_2, Q'_2$ and $Q_3, Q'_3$) on the respective parallel lines.
6. Parabola Curve: Draw a smooth, U-shaped curve that passes through $V$, $Q_1$, $Q'_1$, $Q_2$, $Q'_2$, $Q_3$, and $Q'_3$. The curve should be symmetrical about the axis.

The final drawing will visually represent the definition of a parabola: every point on the curve ($Q_i, Q'_i$) is equidistant from the focus ($F$) and the directrix ($DD'$).