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)
Answer Choices are:
y+3=4(x+4)-5
y+3=4(x-4)-5
y-3=4(x+4)-5
y-3=4(x-4)-5
The correct function that performs the transformation of moving 4 units to the left and 3 units down is
y+3=4(x+4)-5
To translate the line 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.
Starting with the equation y = 4x - 5:
To move the line 4 units to the left, we subtract 4 from the x-coordinate:
y = 4(x - 4) - 5
To move the line 3 units down, we subtract 3 from the y-coordinate:
y - 3 = 4(x - 4) - 5
Therefore, the correct function that performs the translation is y - 3 = 4(x - 4) - 5.
So the correct answer is:
y-3=4(x-4)-5.
To translate a function 4 units to the left and 3 units down, we need to modify the function equation accordingly.
Starting with the original equation: y = 4x - 5
To translate 4 units to the left, we replace x with (x + 4). This is because when we subtract 4 from x, the function moves to the left by 4 units.
So far, we have: y = 4(x + 4) - 5
Next, to translate 3 units down, we subtract 3 from the original equation. This is because subtracting a value from y moves the function downwards.
Thus, the equation becomes: y - 3 = 4(x + 4) - 5
Out of the given answer choices, the correct function that performs this transformation is:
y - 3 = 4(x + 4) - 5
Therefore, the correct answer is:
y - 3 = 4(x + 4) - 5