Question

Please help with this answer for Image all the way to the right

Answer 1

Given:

Here coordinates of triangle are

`\begin{gathered} a(6,0) \\ b(0,2) \\ c(-2,0) \end{gathered}`

Required:

We want to do

1) Reflect over y axis

2) Translate up 2 and right 2

3) Dilate by 3/2

Step-by-step explanation:

First of all we reflect the triangle over y axis

Reflect over y axis means just change the sign of x coordinates

so now after reflect coordinates are

`\begin{gathered} a(-6,0) \\ b(0,2) \\ c(2,0) \end{gathered}`

Now translate up 2 means change in y axis and for up translate we add 2 in y coordinate and similarly right 2 means change in x coordinate and right means add 2 in x coordinated so the coordinates after translation are

`\begin{gathered} a(8,2) \\ b(2,4) \\ c(0,2) \end{gathered}`

now dilate of graph means multiply the dilation number with all the given coordinates and construct new graph so here dilate by 3/2 means multiply with 3/2 to all the given coordinate

`\begin{gathered} a(6*(3)/(2),0)=a(9,0) \\ \\ b(0,2*(3)/(2))=b(0,3) \\ \\ c(-2*(3)/(2),0)=c(-3,0) \end{gathered}`

Final answer:

1) Coordinates after Reflect over y axis are

`\begin{gathered} a(-6,0) \\ b(0,2) \\ c(2,0) \end{gathered}`

2) Coordinates after translate up 2 and right 2 are

`\begin{gathered} a(8,2) \\ b(2,4) \\ c(0,2) \end{gathered}`

3) After dilate by 3/2 coordinates are

`\begin{gathered} a(9,0) \\ b(0,3) \\ c(-3,0) \end{gathered}`