Hyperbolas: parts, equations and graphs
Grade 11 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Noah marks two signal towers on a map at the foci (-6, 0) and (6, 0). A hyperbola passes through (6, 5). What is the difference of the point's distances to the foci?
Zee draws a hyperbola on graph paper with foci (-12, 0) and (12, 0). It passes through (12, 7). What is the difference of the point's distances to the foci?
Esme draws the hyperbola x²/16 − y²/9 = 1 on graph paper. Where are its vertices?
- (-3, 0) and (3, 0)
- (0, -4) and (0, 4)
- (-4, 0) and (4, 0)
- (-5, 0) and (5, 0)
Jun traces a lamp's light on a wall as the hyperbola y²/25 − x²/144 = 1. Where are its vertices?
- (-5, 0) and (5, 0)
- (0, -5) and (0, 5)
- (0, -12) and (0, 12)
- (0, -13) and (0, 13)
Luz draws a hyperbola on a map as x²/36 − y²/64 = 1. Where are its vertices?
- (0, -6) and (0, 6)
- (-8, 0) and (8, 0)
- (-6, 0) and (6, 0)
- (-10, 0) and (10, 0)
Milo draws the hyperbola y²/225 − x²/64 = 1 on graph paper. Where are its vertices?
- (0, -8) and (0, 8)
- (0, -17) and (0, 17)
- (-15, 0) and (15, 0)
- (0, -15) and (0, 15)
Noah marks two signal towers at the foci of the hyperbola x²/9 − y²/16 = 1 on a map. Where are the foci?
- (0, -5) and (0, 5)
- (-√7, 0) and (√7, 0)
- (-3, 0) and (3, 0)
- (-5, 0) and (5, 0)
Ren draws the hyperbola y²/144 − x²/25 = 1 on graph paper. Where are its foci?
- (0, -√119) and (0, √119)
- (0, -12) and (0, 12)
- (-13, 0) and (13, 0)
- (0, -13) and (0, 13)
Tala draws the hyperbola x²/64 − y²/36 = 1 on graph paper. Where are its foci?
- (0, -10) and (0, 10)
- (-10, 0) and (10, 0)
- (-8, 0) and (8, 0)
- (-2√7, 0) and (2√7, 0)
Zee traces a lamp's light on a wall as the hyperbola y²/64 − x²/225 = 1. Where are its foci?
- (0, -8) and (0, 8)
- (0, -√161) and (0, √161)
- (0, -17) and (0, 17)
- (-17, 0) and (17, 0)