Find the image vertices for a dilation with center (0, 0) and a scale factor of 4.

The image vertices for dilation with center and scale factor of 4 are  and \boxed{D' = \left( { - 4,16} \right)}.

Further explanation:

The rule of transformation of the coordinates can be expressed as follows,

Here, k represents the scale factor.

Given:

The scale factor of images vertices is 4.

The image vertices for dilation with center

Explanation:

The coordinate of vertices are and

The scale factor is 4.

The coordinate of image vertex of A can be calculated as,

The coordinate of image vertex of B can be calculated as,

The coordinate of image vertex of C can be calculated as,

The coordinate of image vertex of B can be calculated as,

Learn more:

1. Learn more about inverse of the

2. Learn more about equation of circle

3. Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: image vertices, dilation, center, scale factor, four, coordinates, x-coordinates, y-coordinate, transformation rule,  

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step-by-step explanation: