subject
Mathematics, 22.10.2020 05:01 mayaparness

PLEASE HELP 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. Open GeoGebra, and complete each step below.

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

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 12:50
2-digit numbers less than 91 which are 1 less than a multiple of 10
Answers: 1
question
Mathematics, 21.06.2019 18:50
In which form is the following function written? y = - 2(x – 3)(x + 5)
Answers: 1
question
Mathematics, 21.06.2019 20:00
The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212
Answers: 1
question
Mathematics, 21.06.2019 21:00
Askateboard ramp is in the shape of a right triangle what is the height of the ramp
Answers: 3
You know the right answer?
PLEASE HELP The vertex form of the equation of a horizontal parabola is given by , x=1/4p(y-k)^2+h...
Questions
question
Spanish, 06.10.2019 07:01
question
Mathematics, 06.10.2019 07:01
question
Mathematics, 06.10.2019 07:01
question
Mathematics, 06.10.2019 07:01
Questions on the website: 13722360