Graph the image of the given triangle under a dilation with a scale factor of 14 and center of dilation (0, 0.) to graph the triangle, select the "polygon" tool and draw the triangle by plotting each vertex in order until it lands back on the first vertex. do not retrace any sides. you may use the "move" tool to move your image if you needed. is the answer in this picture if it's not, what is the actual correct coordinates of the image?

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation