1. Review of Algebra

2. Equations & Inequalities

3. Functions & Graphs

4. Polynomial Functions

5. Rational Functions

6. Exponential and Logarithmic Functions

7. Systems of Equations and Inequalities

8. Matrices and Determinants

9. Conic Sections

10. Sequences, Induction, and Probability

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In Exercises 33–42, use the center, vertices, and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. (x−3)^2−4(y+3)^2=4

Finding the Equation for a Hyperbola Given the Graph - Example 1

Conic Sections, Hyperbola : Word Problem , Finding an Equation

Conic Sections, Hyperbola: Find Equation Gvien Focus, Transverse Axis Length

In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. x^2/100−y^2/64=1

In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. 4y^2−x^2=1

In Exercises 27–32, find the standard form of the equation of each hyperbola. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/9b5e1377389598ec-1677101036986.jpg" alt="" />

Explain why it is not possible for a hyperbola to have foci at (0,-2) and (0,2) and vertices at (0,-3) and (0,3).

In Exercises 49–56, identify each equation without completing the square.

100x^2 - 7y^2 + 90y - 368 = 0

Solving Applied Problems Involving Hyperbolas

Graph the hyperbola. Locate the foci and find the equations of the asymptotes. (x^2)/16 - y^2 = 1

Conic Sections: Hyperbolas, An Introduction - Graphing Example

In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. 9x^2−4y^2=36

In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Endpoints of transverse axis: (0, −6), (0, 6); asymptote: y=2x

Finding the Equation for a Hyperbola Given the Graph - Example 2

In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Foci: (0, −3), (0, 3) ; vertices: (0, −1), (0, 1)

Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (-8,0), (8,0); Vertices: (-3,0), (3,0)

In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. y=±√x^2−2

In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Foci: (−4, 0), (4, 0); vertices:(−3, 0), (3, 0)

Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (0,-4), (0,4); Vertices: (0, -2), (0,2)

In Exercises 5–12, find the standard form of the equation of each hyperbola satisfying the given conditions. Center: (4, −2); Focus: (7, −2); vertex: (6, −2)

In Exercises 1–4, find the vertices and locate the foci of each hyperbola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d).  x^2/4−y^2/1=1

Conic Sections, Hyperbola, Shifted: Sketch the Graph

In Exercises 33–42, use the center, vertices, and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. (x+4)^2/9−(y+3)^2/16=1<img src="https://lh5.googleusercontent.com/PoNSsBpKzf2b8yOHK4fLZdGg6a9F2uCBnEizYM-SDcTBFIhbef0hr9l_A4fYVCgXlk6aVm9O355rhNkRqDF2ZxDWaM6k8Ow95yHmS--btTSNG6qF78AfKEJ1AlttdpuulWK-mb7HgywEZlriWS24pz2mLxDbaIA5MfIzW3y27v0ue1h2XOKQH2l3r6SHew" alt="" />

Conic Sections, Hyperbola : Find Equation Given Vertices and Asymptotes

Conic Sections, Hyperbola : Find Equation Given Foci and Vertices

Graph the hyperbola. Locate the foci and find the equations of the asymptotes. ((x-2)^2)/25 - ((y+3)^2)/16 = 1

Conic Sections, Hyperbola: Word Problem, Finding an Equation

In Exercises 33–42, use the center, vertices, and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. (x−1)^2−(y−2)^2=3

In Exercises 27–32, find the standard form of the equation of each hyperbola. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/396aac4179098440-1677101933059.jpg" alt="" />

Applying Hyperbolas: Navigation

In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. x^2/9−y^2/25=1

Graphing Conic Sections Part 4: Hyperbolas

Conic Sections, Hyperbola : Graphing a Hyperbola

In Exercises 1–4, find the vertices and locate the foci of each hyperbola with the given equation. Then match each equation to one of the graphs that are shown and labeled (a)–(d).  y^2/4−x^2/1=1

Graph the hyperbola. Locate the foci and find the equations of the asymptotes. 4y^2 - x^2 = 16

In Exercises 33–42, use the center, vertices, and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. (x+3)^2/25−y^2/16=1<img src="https://lh3.googleusercontent.com/_WvMAAfxVYrt5i3vdMcgxn71MMzIdK3q8wRyiO57xb8KkWzXKb3rnwpTQwteTN1u9Yt7eMHrmUSGFKTGEY3mlodGm1Ie9dY6PBbIMHgLnSL2bubZLN953nMcs-RRBWrQ37VnJD48OaUuGIZrGUL0LRWJi5RfXEagIzQBGQKKtvRiecbWsztIUm1Wg79tCw" alt="" />

In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. y^2/16−x^2/36=1

Find the standard form of the equation of the hyperbola with vertices (0, −6) and (0, 6), passing through (0, 9).

In Exercises 33–42, use the center, vertices, and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. (y+2)^2/4−(x−1)^2/16=1<img src="https://lh3.googleusercontent.com/o-VgGurRKpbIGVdFvvv4Dxzl-pNnBZMAmRhHakHulg379wjgJCEQKsYaQFg3iVjnuvpzG_0Gc7UfJZ2t3fXJahxRQYBBV8aGbKwZwrWIPjrQbtqTqU2glHJT076GmzRhRbW-moIOiAHcQJx7yXa6e8DwCkH_kDRvSCQ4689IB5BKm1CU7goUyrO-Cpd5Dg" alt="" />

Solve Applied Problems Involving Hyperbolas

The Hyperbola

Hyperbola Application Cooling Tower Video 6

In Exercises 13–26, use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. 9y^2−25x^2=225

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Write Equations of Hyperbolas in Standard Form

Graph Hyperbolas Centered at the Origin

Graph Hyperbolas Not Centered at the Origin

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