Unit 10 Review
Name: ______
Period # ______
Unit 10 Review Do Now
Directions: Find the standard form of the equation of a hyperbola with a center (-2, 1), a focus (-2, 6), and a transverse axis length of 6 units.
Sketch a graph of the hyperbola Label the vertices and asymptotes.
Name: ______
Period # ______
Unit 10 Review Do Now
Directions: Find the standard form of the equation of a hyperbola with a center (-2, 1), a focus (-2, 6), and a transverse axis length of 6 units.
Sketch a graph of the hyperbola Label the vertices and asymptotes.
Objective: ______
Verbal / GraphEach cable of the Golden Gate Bridge is suspended (in the shape of a parabola) between two towers that are 1280 meters apart.
The top of each tower is 152 meters above the roadway.
The cables touch the roadway at the midpoint between the two towers.
A diagram that represents the suspension bridge is shown below.
/ Directions: Sketch a diagram of the road on the coordinate plane below. Label your vertex and two other points on the parabola.
Standard Form Equation / Communication
Directions: Find the standard form equation that models the horizontal distance of the cable from the center of the bridge (x) and vertical height (y) of the cables of the bridge. / 1. Find the height of the suspension cables over the roadway as a distance of 320 meters from the center of the bridge.
2. How far from the center of the bridge is the suspension cable that has a height of 9.5 meters?
Review: Unit 10 Conic Sections
1.
A. Find the vertex, the focus, and the directrix of the parabola.
Vertex: ______Focus: ______Directrix: ______
B. Find three points on the parabola and sketch its graph.
2.
A. Find the vertex, the focus, and the directrix of the parabola.
Vertex: ______Focus: ______Directrix: ______
B. Find three points on the parabola and sketch its graph.
3. Find the equation in standard form of a parabola with a focus (-2, -4) and vertex (-4, -4)
Unit 10 Review
4.
Unit 10 Review
A. Find the center, the vertices, and foci. Is the major axis horizontal or vertical?
Center: ______
Vertices: ______
Unit 10 Review
Foci: ______
Unit 10 Review
5. Find an equation in standard form for the ellipse that satisfies the given conditions: major axis endpoints are (-2, -3) and (-2, 7) and the minor axis has a length of 4.
6.
Unit 10 Review
Unit 10 Review
A. Find the center, vertices, and foci of the hyperbola and sketch its graph. Is the transverse axis horizontal or vertical?
Center: ______
Vertices: ______
Unit 10 Review
Foci: ______
Unit 10 Review
7. Find an equation in standard form of a hyperbola with foci (-4, 2) and (2, 2) and transverse axis endpoints (-3, 2) and (1, 2).
8. An arch of a bridge over a highway is semi-elliptical in shape and 60 feet across.
The highest point of the arch is 20 feet above the highway. A truck that is 12 feet 6 inches tall wishes to pass through the tunnel. If one side of the truck is on the center stripe, what is the maximum width of the truck that can fit under the arch?