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)
what are the answers?
To translate a function 4 units to the left and 3 units down, we need to subtract 4 from the x-coordinate and subtract 3 from the y-coordinate.
So, the correct transformation function would be:
y = 4(x-4) - 3.
Here, (x-4) represents shifting the function 4 units to the left, and -3 represents shifting it down by 3 units. Thus, the correct answer is:
y = 4(x-4) - 3.
To translate a function 4 units to the left and 3 units down, you need to apply the following transformations:
1. Shift the function 4 units to the left: This can be done by replacing the variable x with (x + 4).
2. Shift the function 3 units down: This can be done by subtracting 3 from the function.
Therefore, the correct function to perform this transformation is:
y = 4(x + 4) - 5 - 3
Simplifying this expression, we get:
y = 4x + 16 - 5 - 3
y = 4x + 8
So, the correct function that performs the specified transformation is:
y = 4x + 8
To perform the given translation, we need to move the graph of the line 4 units to the left and 3 units down. This can be achieved by modifying the equation of the line.
Notice that the original equation is in the form of y = mx + b, where m represents the slope of the line and b represents the y-intercept.
To move the graph 4 units to the left, we need to subtract 4 from the x-coordinate. To move it 3 units down, we need to subtract 3 from the y-coordinate. Therefore, the transformation can be done by modifying the equation as follows:
y = 4(x + 4) - 5 - 3
Simplifying the equation, we get:
y = 4x + 16 - 5 - 3
y = 4x + 8
Thus, the correct transformed equation is y = 4x + 8.
From the options given, you need to select the function that matches this transformed equation.