Hyperbolas: parts, equations and graphs
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
Luz draws the hyperbola x²/49 − y²/36 = 1 on graph paper. Which lines are its asymptotes?
- y = ±(49/36)x
- y = ±(36/49)x
- y = ±(6/7)x
- y = ±(7/6)x
Milo draws the hyperbola y²/100 − x²/9 = 1 on graph paper. Which lines are its asymptotes?
- y = ±(100/9)x
- y = ±(3/10)x
- y = ±(10/3)x
- y = ±(9/100)x
Noah marks two signal towers on a map at the foci of (x − 1)²/4 − (y + 2)²/5 = 1. Where are the foci?
- (0, -2) and (2, -2)
- (-4, 2) and (2, 2)
- (-2, -2) and (4, -2)
- (1, -5) and (1, 1)
Ren traces a lamp's light on a wall as (y − 3)²/7 − (x + 1)²/9 = 1. Where are its foci?
- (1, -7) and (1, 1)
- (-1, 3 − √2) and (-1, 3 + √2)
- (-1, -1) and (-1, 7)
- (-5, 3) and (3, 3)
Tala draws the hyperbola (x + 2)²/20 − (y − 1)²/16 = 1 on graph paper. Where are its foci?
- (-4, -1) and (8, -1)
- (-2, -5) and (-2, 7)
- (-4, 1) and (0, 1)
- (-8, 1) and (4, 1)
Zee draws the hyperbola (y + 4)²/16 − (x − 3)²/9 = 1 on graph paper. Where are its foci?
- (3, -9) and (3, 1)
- (-3, -1) and (-3, 9)
- (-2, -4) and (8, -4)
- (3, -4 − √7) and (3, -4 + √7)
Esme draws the hyperbola (x − 2)²/9 − (y + 1)²/4 = 1 on graph paper. Where is its right-hand vertex?
Jun traces a lamp's light on a wall as (y − 3)²/16 − (x + 1)²/25 = 1. Where is its upper vertex?
Luz draws a hyperbola on a map as (x + 4)²/36 − (y − 2)²/49 = 1. Where is its right-hand vertex?
Milo draws the hyperbola (y + 5)²/81 − (x − 3)²/4 = 1 on graph paper. Where is its upper vertex?