Will mark the vertex form of the equation of a horizontal parabola is given by x = 1/4p (y - k)^2 + h, where (h, k) is the vertex of the parabola and the absolute value of p is the distance from the vertex to the focus, which is also the distance from the vertex to the directrix. you will use geogebra to create a horizontal parabola and write the vertex form of its equation. part a mark the focus of the parabola you are going to create at f(-5, 2). draw a vertical line that is 8 units to the right of the focus. this line will be the directrix of your parabola. what is the equation of the line? part b construct the line that is perpendicular to the directrix and passes through the focus. this line will be the axis of symmetry of the parabola. what are the coordinates of the point of intersection, a, of the axis of symmetry and the directrix of the parabola? part c explain how you can locate the vertex, v, of the parabola with the given focus and directrix. write the coordinates of the vertex. part d which way will the parabola open? explain. part e how can you find the value of p? is the value of p for your parabola positive or negative? explain. part f what is the value of p for your parabola?

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.