The point P(0,-2) lies on the curve with equation y=f(x). Find the image of P on the curve with equation y=f(x)-1
To find the image of point P(0, -2) on the curve with equation y = f(x) - 1, we need to substitute the x-coordinate and y-coordinate of P into the equation.
Given that the x-coordinate of P is 0, we substitute x = 0 into the equation:
y = f(0) - 1
Next, we substitute the y-coordinate of P, which is -2, into the equation:
-2 = f(0) - 1
Now, we solve for f(0), which represents the value of the function f at x = 0:
f(0) - 1 = -2
Adding 1 to both sides of the equation:
f(0) = -2 + 1
f(0) = -1
Therefore, the image of the point P(0, -2) on the curve with equation y = f(x) - 1 is the point (0, -1) on the curve with equation y = f(x).