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.
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
1 answer
3 answers