Jean wants to translate the line y=4x−5 4 units to the left and 3 units down. Which of the following functions correctly performs this transformation?(1 point)
The correct function that performs this transformation is:
f(x) = 4(x + 4) - 5 - 3
Explanation:
To move the line 4 units to the left, we add 4 to the x-coordinate.
To move the line 3 units down, we subtract 3 from the y-coordinate.
Therefore, we substitute (x+4) for x in the original equation to move it 4 units to the left. Then, we subtract 3 from the equation to move it 3 units down.
To translate the line y=4x−5 4 units to the left, we need to subtract 4 units from the x-coordinate. To translate it 3 units down, we need to subtract 3 units from the y-coordinate. Therefore, the correct transformation is:
y = 4(x - 4) - 3
So, the correct function that performs this transformation is y = 4(x - 4) - 3.
To translate the line y = 4x - 5 four units to the left and three units down, we need to apply the following transformations:
1. Four units to the left: This can be achieved by subtracting 4 from the x-coordinates of all points on the line.
2. Three units down: This can be achieved by subtracting 3 from the y-coordinates of all points on the line.
So, to perform both transformations simultaneously, we need to subtract 4 from the x-coordinate and subtract 3 from the y-coordinate of each point on the line.
Let's examine the given options to determine which one performs these transformations correctly.