Given:
The values in the table represent a function.
x f(x)
-2 1
1 3
4 -2
-3 0
0 4
To find:
Function notation for the ordered pair given in the first row in the table.
Solution:
We know that, if a point (a,b) is on the function, then .
From the given table, the ordered pair given in the first row is (-2,1). So,
Therefore, when
is
.
Answer:
θ = {(4/3 +2k)π, (5/3 +2k)π}
Step-by-step explanation:
From your knowledge of trig functions, you know that sin(60°) = sin(π/3) = (√3)/2. So, the angles of interest are in the 3rd- and 4th-quadrant and will have π/3 as their reference angle.
θ = 4/3π +2kπ, and 5/3π +2kπ
Given:
Point = ( -4,8).
To find:
The image point of (-4, 8) after a translation right 4 units and up 2 units.
Solution:
We know that, if a figure translated 4 units right and 2 units up, then the rule of translation is
The point is (-4,8).
Putting x=-4 and y=8, we get
Therefore, the image of point (-4,8) is (0,10).