Point A having coordinates (3,-7) lies on the curve y=f(X). State the coordinates of A when y=f(X) is transformed to y=f(2x-7)+1.
The answer is (5,-6).But I didn't get 5.
To find the transformed coordinates of point A when the equation y=f(X) is transformed to y=f(2x-7)+1, we need to substitute the x-coordinate of point A into the transformed equation.
Firstly, we can substitute the x-coordinate of point A (which is 3) into the transformation equation:
y = f(2(3) - 7) + 1
= f(-1) + 1
Now, you mentioned that the transformed coordinates of point A are (5,-6). Let's check if this is true by substituting -1 into the original equation y = f(x):
y = f(-1)
Since the original equation is not given, we can't find the value of y directly. However, we can verify the given answer by checking if the coordinates (3,-7) satisfy the original equation.
If (3,-7) satisfies the original equation y = f(x), then the transformed coordinates of point A should be (5,-6) as given. If not, there might be an error in the given answer.
So, you need to verify if the coordinates (3,-7) satisfy the original equation y = f(x) or provide the original equation in order to find the correct transformed coordinates of point A.