Ellipses: parts, equations and graphs
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
Tala draws a planet's orbit around the sun as (x − 2)²/25 + (y + 1)²/9 = 1. Where are the foci?
- (-6, 1) and (2, 1)
- (-2, -1) and (6, -1)
- (2 − √34, -1) and (2 + √34, -1)
- (2, -5) and (2, 3)
Zee plans an oval flower bed as (x + 3)²/16 + (y − 2)²/25 = 1, with a stake at each focus. Where are the foci?
- (-6, 2) and (0, 2)
- (-3, -1) and (-3, 5)
- (-3, 2 − √41) and (-3, 2 + √41)
- (3, -5) and (3, 1)
Esme draws the ellipse (x − 1)²/100 + (y − 4)²/36 = 1 on graph paper. Where are its foci?
- (-9, -4) and (7, -4)
- (-7, 4) and (9, 4)
- (1, -4) and (1, 12)
- (1 − 2√34, 4) and (1 + 2√34, 4)
Jun draws an oval table top as (x + 4)²/64 + (y + 5)²/100 = 1. Where are its foci?
- (-10, -5) and (2, -5)
- (4, -1) and (4, 11)
- (-4, -5 − 2√41) and (-4, -5 + 2√41)
- (-4, -11) and (-4, 1)
Luz plans an oval flower bed with vertices (-10, 0) and (10, 0) and foci (-6, 0) and (6, 0). Which equation is it?
- x²/100 + y²/64 = 1
- x²/10 + y²/8 = 1
- x²/100 + y²/136 = 1
- x²/64 + y²/100 = 1
Noah draws an ellipse on graph paper with vertices (-17, 0) and (17, 0) and foci (-15, 0) and (15, 0). Which equation is it?
- x²/64 + y²/289 = 1
- x²/17 + y²/8 = 1
- x²/289 + y²/514 = 1
- x²/289 + y²/64 = 1
Ren draws a planet's orbit around the sun with vertices (0, -5) and (0, 5) and foci (0, -3) and (0, 3). Which equation is it?
- x²/25 + y²/16 = 1
- x²/34 + y²/25 = 1
- x²/16 + y²/25 = 1
- x²/4 + y²/5 = 1
Tala draws the ellipse (x − 1)²/36 + (y + 2)²/16 = 1 on graph paper. Where is its highest point?
Zee draws an oval table top as (x + 2)²/9 + (y − 1)²/49 = 1. Where is the point of the edge farthest to the right?
Jun draws the ellipse (x + 4)²/16 + (y + 3)²/81 = 1 on graph paper. Where is its highest point?