Write Equation of a Parabola Given Vertex and Directrix
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- Опубліковано 6 лют 2025
- Learn how to find the equation of a parabola when given the vertex and directrix in this free math video tutorial by Mario's Math Tutoring.
0:10 What is a Parabola
0:53 Equation of a Parabola
1:03 How to Know if the Parabola Opens Up, Down, Right or Left
1:16 How to Write the Parabola Equation in a More General Form Showing the Horizontal and Vertical Shifts
2:31 Write and Graph the Equation of a Parabola with Vertex(4,-2) and Directrix y=2
3:12 How Wide to Draw the Parabola
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Aaa thank you sooo muchhhh this really helped!! 🙏
Would the description of -2 (x+3)^ + 4 be reflection across the x axis vertical compression by a factor of -2 horizontal translation left 3 units and vertical compression up 4 units and would (x-1)^ - 5 be horizontal translation right 1 unit and vertical translation down 5 units since there is no reflection across the x or y axis and no vertical stretch or compression
Also if the parent function f (x) = x^ is vertically stretched by a factor of 3 translated 6 units to the right then translated 5 units up how would u write this in vertex form g (x) and also how would u write this in vertex form if f (x) =x^ is reflected across the x axis translated 3 units to the left then translated 4 units down
yes