Mathematics, 20.07.2021 16:10 reyamukhtar

52 POINTS I need help! Question 1

The vertex form of the equation of a vertical parabola is given by
, 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 the GeoGebra geometry tool to create a vertical parabola and write the vertex form of its equation. Open GeoGebra, and complete each step below. If you need help, follow these instructions for using GeoGebra.

Part A

Mark the focus of the parabola you are going to create at F(6, 4). Draw a horizontal line that is 6 units below 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?
Part G

Based on your responses to parts C and E above, write the equation of the parabola in vertex form. Show your work.
Part H

Construct the parabola using the parabola tool in GeoGebra. Take a screenshot of your work, save it, and insert the image below.
Part I

Once you have constructed the parabola, use GeoGebra to display its equation. In the space below, rearrange the equation of the parabola shown in GeoGebra, and check whether it matches the equation in the vertex form that you wrote in part G. Show your work.
Part J

To practice writing the equations of vertical parabolas, write the equations of these parabolas in vertex form:

focus at (-5, -3), and directrix y = -6
focus at (10, -4), and directrix y = 6.

Answers: 2

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 21:30

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis.y = 7ex, y = 7e^-x, x = 1; about the y-axis

Answers: 2

Answer

Mathematics, 21.06.2019 23:20

Suppose a laboratory has a 30 g sample of polonium-210. the half-life of polonium-210 is about 138 days how many half-lives of polonium-210 occur in 1104 days? how much polonium is in the sample 1104 days later? 9; 0.06 g 8; 0.12 g 8; 2,070 g

Answers: 1

Answer

Mathematics, 22.06.2019 01:50

If its non of them tell me..valerie took a day-trip. she drove from her house for a while and took a coffee break. after her coffee break, she continued driving. after 2 hours of driving after her coffee break, her distance from her house was 210 miles. her average speed during the whole trip was 60 miles per hour.valerie created the equation y−210=60(x−2) to represent this situation, where xx represents the time in hours from her coffee break and yy represents the distance in miles from her house.which graph correctly represents valerie's distance from her house after her coffee break?

Answers: 1

Answer

Mathematics, 22.06.2019 02:30

What is value of x? enter your answer in the box. x =

Answers: 1

Answer

You know the right answer?

52 POINTS I need help! Question 1

The vertex form of the equation of a vertical parabol...

Questions