Graph y=(x-2)+3 for the following domain {-2,0,2,4,6}
Huh?
That is just
y = x + 1
a straight line 45 degrees up to the right and down to the left from the point (0 , 1) draw it from (-2,-1) to (6,7)
Thank you
To graph the equation y = (x - 2) + 3 for the given domain {-2, 0, 2, 4, 6}, we will substitute each value from the domain into the equation and find the corresponding value for y.
Let's start with the first value, x = -2.
Substituting x = -2 into the equation, we get:
y = (-2 - 2) + 3
y = (-4) + 3
y = -1
So, when x = -2, y = -1.
Next, let's proceed with x = 0.
Substituting x = 0 into the equation, we get:
y = (0 - 2) + 3
y = (-2) + 3
y = 1
So, when x = 0, y = 1.
Moving on to x = 2.
Substituting x = 2 into the equation, we get:
y = (2 - 2) + 3
y = 0 + 3
y = 3
So, when x = 2, y = 3.
Continuing with x = 4.
Substituting x = 4 into the equation, we get:
y = (4 - 2) + 3
y = 2 + 3
y = 5
So, when x = 4, y = 5.
Finally, considering x = 6.
Substituting x = 6 into the equation, we get:
y = (6 - 2) + 3
y = 4 + 3
y = 7
So, when x = 6, y = 7.
Now that we have the x-y pairs, we can plot them on a graph.
The x-coordinates will be {-2, 0, 2, 4, 6} and the y-coordinates will be {-1, 1, 3, 5, 7}.
This gives us the following points on the graph:
(-2, -1), (0, 1), (2, 3), (4, 5), (6, 7).
Connecting these points with a line, we get the graph of y = (x - 2) + 3 for the given domain.