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find the image based on the graph of the pre - image. dilation of 1.5 a…

Question

find the image based on the graph of the pre - image. dilation of 1.5 about the origin 24. find t type a response

Explanation:

Step1: Identify the coordinates of point T

From the graph, point T has coordinates $(3,0)$.

Step2: Apply the dilation rule

For a dilation of scale - factor $k = 1.5$ about the origin, the rule is $(x,y)\to(kx,ky)$. Here, $x = 3$ and $y = 0$, so $T'=(1.5\times3,1.5\times0)$.

Step3: Calculate the new coordinates

$1.5\times3 = 4.5$ and $1.5\times0 = 0$. So, $T'=(4.5,0)$.

Answer:

$(4.5,0)$