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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 itsequation. OpenGeoGebra, and complete each step below.i.Mark the focus of the parabola you are going to create atF(-5, 2). Draw a verticalline that is 8 units to the right of the focus. This line will be the directrix of yourparabola. What is the equation of the line?Type your response here:ii.Construct the line that is perpendicular to the directrix and passes through thefocus. This line will be the axis of symmetry of the parabola. What are thecoordinates of the point of intersection,A,of the axis of symmetry and the directrixof the parabola?Type your response here:iii.Explain how you can locate the vertex,V,of the parabola with the given focus anddirectrix. Write the coordinates of the vertex.Type your response here:iv.Which way will the parabola open? Explain.Type your response here:v.How can you find the value ofp? Is the value ofpfor your parabola positive ornegative? Explain.Type your response here:vi.What is the value ofpfor your parabola?Type your response here:vii.Based on your responses to parts iii and v above, write the equation of theparabola in vertex form. Show your work.Type your response here:viii.Construct the parabola using the parabola tool in GeoGebra. Take a screenshot ofyour work, and paste it below.3
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Type your response here:ix.Once you have constructed the parabola, use GeoGebra to display its equation. Inthe space below, rearrange the equation of the parabola shown in GeoGebra, andcheck whether it matches the equation in the vertex form that you wrote in part vii.