Answer:
The relation between polar and Cartesian coordinates are
r2=x2+y2
tan
θ
=
y
x
,
x
=
r
cos
θ
,
y
=
r
sin
θ
r
=
8
sin
θ
∴
r
⋅
r
=
r
⋅
8
sin
θ
or
r
2
=
8
r
sin
θ
∴
x
2
+
y
2
=
8
y
or
x
2
+
y
2
−
8
y
=
0
or
x
2
+
y
2
−
8
y
+
16
=
16
or
x
2
+
(
y
−
4
)
2
=
4
2
Rectangular form is
x2+(y-4)2=42
graph{x^2+(y-4)^2=16 [-20, 20, -10, 10
Step-by-step explanation:
i created it that way so yall will take a longer time to answer
2x^2+3. the 2x cancel out and the rest is combining like terms
Complete question:
y = 2x² + 2x - 3
x = -2 -1 0 1 2
Answer:
<u>Complete table of values</u>
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
Step-by-step explanation:
Given;
y = 2x² + 2x - 3
To complete the table of values of the equation above, we substitute the value of x into the given equation and solve for y.
when, x = -2
y = 2(-2)² + 2(-2) - 3
y = 8 - 4 - 3
y = 1
when x = -1
y = 2(-1)² + 2(-1) - 3
y = 2 - 2 - 3
y = -3
when x = 0
y = 2(0)² + 2(0) - 3
y = 0 - 0 - 3
y = -3
when x = 1
y = 2(1)² + 2(1) - 3
y = 2 + 2 - 3
y = 1
when x = 2
y = 2(2)² + 2(2) - 3
y = 8 + 4 - 3
y = 9
<u>Complete table</u>
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
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