A V shaped function with arrows at both ends passes through 7 plotted points. The x-axis ranges from negative 9 to 9 in unit increments and the y-axis ranges from negative 11 to 11 in unit increments.
How far has the original function shifted horizontally?
(1 point)
units
To determine how far the original function has shifted horizontally, we need to find the difference between the x-coordinate of the highest point of the V shape and the x-coordinate of the middle point where the two arms of the V intersect. Let's call the highest point A and the middle point B.
From the given information, we know that the x-axis ranges from -9 to 9 in unit increments. This means that the highest x-coordinate can be 9, and the lowest x-coordinate can be -9.
Let's assume that the highest point A has an x-coordinate of 9. To find the x-coordinate of point B, we need to consider the symmetry of the V shape. Since the V shape is symmetric about the y-axis, the x-coordinate of point B will be the opposite of point A's x-coordinate.
So, the x-coordinate of point B would be -9.
To find the horizontal shift, we find the difference between the x-coordinate of point A and point B:
Shift = x-coordinate of A - x-coordinate of B
= 9 - (-9)
= 9 + 9
= 18 units
Therefore, the original function has shifted horizontally by 18 units.