Question

Reflect the triangle over the x-axis and then translate (x,y) (x+6,y+2)

Answer 1

Step-by-step explanation:

First, we need to identify the coordinates of the vertex of the triangle. So, the coordinates are:

A(-1, 1)

B(-4, 1)

C(-1, 4)

Then, if we reflect over the x-axis, every vertex is transformed using the following rule:

(x, y) ------> (x, -y)

So, the coordinates of the vertex are now:

A(-1, 1) -----> (-1, -1)

B(-4, 1) -----> (-4, -1)

C(-1, 4) ------> (-1, -4)

Then, we need to translate the triangle using the rule:

(x, y) --------> (x + 6, y + 2)

So, the coordinate of the translated triangle are:

(-1, -1) ---------> (-1 + 6, -1 + 2) = A'(5, 1)

(-4, -1) ---------> (-4 + 6, -1 + 2) = B'(2, 1)

(-1, -4) ---------> (-1 +6, -4 + 2) = C'(5, -2)

Therefore, the graph of the triangle after the reflection and the translation is: