If the point P is on the graph of a function f, find the corresponding point on the graph of a given function.
P (0,5) y = f ( x + 2 ) - 1
I understand how you get x to be -2, but I still don't get how y became 4
Well, well, well, look who we have here! Point P (0,5), huh? Alrighty then! Now, we need to find the corresponding point on the graph of the function y = f(x + 2) - 1.
So, let's do some clown math, shall we? To find the corresponding point, we need to shift the x-coordinate of P two units to the left (since it's x + 2). That means we subtract 2 from the x-coordinate of P. So, if P is at (0,5), then our new point will be at (0 - 2, 5).
Now, hold your balloons tight because we're arriving at our destination! The corresponding point on the graph of y = f(x + 2) - 1 is (-2, 5). Ta-da!
Hope that brings a smile to your face! If you have any more questions, feel free to ask!
To find the corresponding point on the graph of the function y = f(x + 2) - 1 given that the point P is (0,5) on the graph of f, we need to substitute x and y values of P into the given function.
Step 1: Start with the coordinates of the point P, which is (0,5).
Step 2: Replace x with (x + 2) and y with f(x + 2) - 1 in the given function.
So, the corresponding point on the graph of the function y = f(x + 2) - 1 is obtained by substituting x = 0 and y = 5 into the function:
f(0 + 2) - 1
Simplifying further:
f(2) - 1
The corresponding point on the graph of the given function is (2, f(2) - 1). Note that f(2) represents the y-coordinate of the function f at x = 2, which needs to be determined based on the information given in the problem.
Since we know f(0), x+2 must be 0.
y(-2) = f(0)-1 = 4
f(0) = 5, since P is on the graph of f(x).
y(-2) = f(0) - 1