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Introduction to Conics
Related Topics
Wize High School Grade 12 Pre-Calculus Textbook > Conics [BC/AB]
Introduction to Conics
5 Activities
Practice: Introduction to Conics
Indicate whether the following represents a parabola, a circle, an ellipse, or a hyperbola.
a.
x
=
2
(
y
−
3
)
2
+
1
x=2(y-3)^2+1
x
=
2
(
y
−
3
)
2
+
1
b.
x
2
8
+
(
y
−
7
)
2
64
=
3
\dfrac{x^2}{8}+\dfrac{(y-7)^2}{64}=3
8
x
2
+
64
(
y
−
7
)
2
=
3
c.
−
4
x
2
+
(
y
+
2
)
2
=
5
-4x^2+(y+2)^2=5
−
4
x
2
+
(
y
+
2
)
2
=
5
d.
9
(
x
+
1
)
2
+
2
y
=
3
9(x+1)^2+2y=3
9
(
x
+
1
)
2
+
2
y
=
3
e.
x
2
5
−
y
2
10
=
1
\frac{x^2}{5}-\frac{y^2}{10}=1
5
x
2
−
10
y
2
=
1
f.
2
x
2
+
16
y
2
=
256
2x^2+16y^2=256
2
x
2
+
16
y
2
=
256
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More Introduction to Conics Questions:
Conics
The following conic
4
x
2
−
32
x
−
y
2
−
4
y
+
24
=
0
4x^2-32x-y^2-4y+24=0
4
x
2
−
32
x
−
y
2
−
4
y
+
24
=
0
is a:
Introduction to Conics
Practice: Introduction to Conics
Complete the square for the expression
16
x
2
−
4
x
−
y
2
−
10
y
=
−
4
16x^2-4x-y^2-10y=-4
16
x
2
−
4
x
−
y
2
−
10
y
=
−
4
Introduction to Conics
Practice: Introduction to Conics
Complete the square for the expression
x
2
+
8
x
+
3
y
2
+
81
y
=
10
x^2+8x+3y^2+81y=10
x
2
+
8
x
+
3
y
2
+
81
y
=
10
Introduction to Conics
Practice: Introduction to Conics
Complete the square for the following expression
2
x
2
+
7
x
+
1
2x^2+7x+1
2
x
2
+
7
x
+
1
.
Introduction to Conics
Practice: Introduction to Conics
Complete the square for the following expression
3
x
2
+
9
x
−
15
3x^2+9x-15
3
x
2
+
9
x
−
15
.
Introduction to Conics
Practice: Introduction to Conics
Indicate whether the following represents a parabola, a circle, an ellipse, or a hyperbola.