What is the image of point B(4,-4) after a dilation with the center at the origin and a scale factor of -2?
To find the image of point B(4,-4) after a dilation with the center at the origin and a scale factor of -2, we can use the formula for dilation:
(image_x, image_y) = (scale_factor * original_x, scale_factor * original_y)
In this case, the center of dilation is the origin, which has coordinates (0,0). So, we can plug in the values as follows:
(image_x, image_y) = (-2 * 4, -2 * -4)
= (-8, 8)
Therefore, the image of point B(4,-4) after a dilation with the center at the origin and a scale factor of -2 is (-8, 8).
To find the image of point B(4, -4) after a dilation with the center at the origin and a scale factor of -2, we can use the following steps:
1. Multiply the coordinates of point B by the scale factor (-2) to determine the new coordinates of the image point.
New X-coordinate = 4 * -2 = -8
New Y-coordinate = -4 * -2 = 8
2. Therefore, the image of point B(4, -4) after the dilation is B'(-8, 8).
So, the image of point B(4, -4) after a dilation with the center at the origin and a scale factor of -2 is B'(-8, 8).