To create a function table for the equation y = ×^2 - 3, we need to assign different values to x and solve for the corresponding values of y.
Let's choose some values for x and calculate the corresponding values of y:
When x =-2:
y = (-2)12-3 = 4-3 = 1
When x゠-
y =4-1)^2-3 = 1 - 3 = -2
When x = 0:
y=(0)^2-3 = 0 - 3 = -3
When x=1:
y = (1)^2-3 = 1-3 =-2
When x= 2:
y= (2)^2-3 = 4-3 = 1
Now, let's graph the resulting ordered pairs (x, y) on a coordinate plane:
(-2, 1)
(-1,-2)
(0, -3)
(1,-2)
(2,1)
By plotting these points, we can create a
graph of the function y = x^2 - 3. The
graph will be a curve that opens upwards and intersects the y-axis at the point (O,
-3). The graph will also be symmetric with respect to the y-axis.
Remember that the x-axis represents the input values (x) and the y-axis represents the corresponding output values (y). The graph shows the relationship between the × and y values for the given equation.