Derive the Equation of a Hyperbola from the Foci

Instructions:

question 1 of 3

Which of the following is the shape of a hyperbola?

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2. What is the equation of a hyperbola with a horizontal transverse axis such that (h, k) is its center, a is the distance from the center to a vertex, c is the distance from the center to the foci, and b2 = c2 - a2?

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This study assessment will cover in detail how to derive the equation of a hyperbola from the foci. Use the quiz to answer questions on topics like the shape of a hyperbola and its proper definition.

Quiz & Worksheet Goals

Use the quiz and worksheet to:

• Solve an equation of a hyperbola with a horizontal transverse axis
• Find a specific variable in a problem where you're given the center of a hyperbola and necessary distances
• Identify the equation of a hyperbola when you're given the center of its axis and the distance to its vertex and foci

Skills Practiced

• Problem solving - use acquired knowledge to solve practice problems that involve deriving the equation of a hyperbola from the foci
• Critical thinking - apply relevant concepts to examine information about hyperbolas in a different light
• Information recall - access the knowledge you've gained regarding the horizontal transverse axis
• Making connections - use understanding of the concept of a hyperbola equation and how it's connected to the foci