If a hyperbola is centered at the origin, we can write the equation in standard form if we know a vertex and a focus. The distance from the center (origin, in this case) to the focus is "c," and the distance from the center to the vertex is "a." Using the relationship a^2 + b^2 = c^2, we can find "b" as well. If the focus and vertex are along a horizontal line, then the x^2 term will be first in the hyperbola, but if the focus and vertex are along a vertical line, then the y^2 term will be first (as in this example.) Make sure you have a subtraction sign and the equation is set equal to one to keep the hyperbola in standard form.
Transcript Coming Soon!
Please enter your name.
Are you sure you want to delete this comment?
Experience the 'A-Ha!' moment with the best teachers
whom we hand-picked for you!
M.A. in Secondary Mathematics, Stanford University B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
“Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
“Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
“You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”