Question

Reflect the given triangle over

the x-axis.
[_
3 6 31
-3 3 3.
3 [?]
13
UD
[

Answer 1

[3 6 3]

( 3 3. 3]

THIS ANSWER IS CORRECT

Answer 2

`\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right]`

Step-by-step explanation:

`\sf \left[\begin{array}{ccc}3&6&3\\-3&3&3\\\end{array}\right]`

The rule for a reflection over the x -axis is (x,y) → (x,−y)

===============================================================

or multiply the matrix with:
`\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right]`

`\dashrightarrow \ \sf \begin{pmatrix}1\cdot \:3+0\cdot \left(-3\right)&1\cdot \:6+0\cdot \:3&1\cdot \:3+0\cdot \:3\\ 0\cdot \:3+\left(-1\right)\left(-3\right)&0\cdot \:6+\left(-1\right)\cdot \:3&0\cdot \:3+\left(-1\right)\cdot \:3\end{pmatrix}`

Final answer:

`\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right]`