Question

graph the image of lstu after a dilation with a scale factor of 2, centered at the origin

Explanation:

Step1: Identify the vertices of △STU

Let's assume the coordinates of the vertices of △STU are \(S(- 5,5)\), \(T(6,5)\), \(U(-5,1)\)

Step2: Apply the dilation formula

The formula for dilation centered at the origin \((0,0)\) with a scale - factor \(k\) is \((x,y)\to(kx,ky)\). Here \(k = 2\).
For point \(S(-5,5)\): \((-5\times2,5\times2)=(-10,10)\)
For point \(T(6,5)\): \((6\times2,5\times2)=(12,10)\)
For point \(U(-5,1)\): \((-5\times2,1\times2)=(-10,2)\)

Step3: Graph the new triangle

Plot the points \((-10,10)\), \((12,10)\) and \((-10,2)\) on the coordinate - plane and connect them to form the dilated triangle.

Answer:

Graph the triangle with vertices \((-10,10)\), \((12,10)\) and \((-10,2)\) on the given coordinate - grid.