Mathematics
Mathematics, 20.05.2020 13:57, kbelizaire6

The vertex form of the equation of a vertical parabola is given by y= 1/4p(x-h)^2 , 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.

THANK YOU

answer
Answers: 1

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 21:40, jasmine8142002
Atransformation t : (x, y) (x-5,y +3) the image of a(2,-1) is
Answers: 1
image
Mathematics, 22.06.2019 02:00, mrfluff14
Idon't want to fail summer school. the probabilities of contamination in medicine capsules due to the presence of heavy metals and different types of microbes are given in the table. the probability of capsule b having microbial contamination is (the same as, greater than, less than) the probability of capsule d having it.
Answers: 3
image
Mathematics, 22.06.2019 02:00, andrejr0330jr
What 620000 divided by 10 to the third power
Answers: 1
image
Mathematics, 22.06.2019 02:30, Jesser18
$30 to spend on dinner tax and gratuity at mos restaurant rax is 6% and they give a 15% tip on the total bill after taxes thier dinner cost $21 which statement correctly explains wether andrew and kate have enough money to pay their bill
Answers: 1
Do you know the correct answer?
The vertex form of the equation of a vertical parabola is given by y= 1/4p(x-h)^2 , where (h, k) is...

Questions in other subjects:

Konu
Mathematics, 02.10.2019 22:10
Konu
Mathematics, 02.10.2019 22:10