WorksheetsChapter 7 : Conic Sections and Parametric Equations
Total questions: 20
Worksheet time: 10mins
Identify the vertex for (x + 3)2 = −8(y − 2).
(3, −2)
(−3, 2)
(−3, −6)
(−3, 6)
Identify the focus for (y − 1)2 = 2(x − 5).
(4.5, 1)
(5, 1.5)
(5, 0.5)
(5.5, 1)
Identify the directrix for (x + 7)2 = 22(y + 9).
y = −14.5
y = −4.5
y = 14.5
y = 4.5
Graph the parabola given by (x + 1)2 = 4(y − 6)
Graph the parabola given by (y + 3)2 = 16x
Graph the ellipse given by the equation above
Graph the ellipse given by 9x2 + 25y2 + 72x − 50y − 731 = 0.
Write the equation for an ellipse with major axis from (−3, 8) to (7, 8) and minor axis from (2, 5) to (2, 11).
Write the equation for an ellipse with foci at (4, −2) and (4, −10) and major axis of length 10.
Determine the eccentricity of the ellipse given by the equation above.
0.47
0.55
0.51
0.58
Graph the hyperbola given by the equation.
Graph the hyperbola given by the equation.
Graph the hyperbola given by the equation.
Graph the hyperbola given by −4x2 + 9y2 − 56x = 232.
Graph the hyperbola given by x2 − 16y2 + 10x − 64y = 55.
Sketch the curve given by x = t + 3 and y = t2 − 2 for −4 ≤ t ≤ 4.
Write y=2t+4 and x=t+3 in rectangular form and state any restrictions on the domain.
y=2x2−2; x≥−3
y=2x2−2; x≥0
y=2x2−12x+22; x≥0
y=2x2−12x+22; x≥−3
Write y=−3t+4 and x=t+4 in rectangular form and state any restrictions on the domain.
y=−3x2+24x−44; x≥0
y=−3x2+16; x≥4
y=−3x2+24x−44; x≥4
y=−3x2+16; x≥0
Write y = 4sin θ and x = 7cos θ in rectangular form.
16y2+49x2=1
16y2+49x2=1
4y+7x=1
4y + 7x = 1
Write y = 3cos θ and x = 2sin θ in rectangular form.
9y2+4x2=1
3y+2x=1
9y2+4x2=1
3y + 2x = 1
