Question

The graph of y = |x − 3| + 2 is reflected across the x-axis and then translated down 2 units. What is an equation of the transformed graph?

Answer 1

Answer:

y=-|x − 3|

Work

y = |x − 3| + 2

-2        -2

y = |x − 3|

add a neg before the absolute value

y=-|x − 3|

Answer 2

Transformation involves changing the position of a graph

The equation of the transformed graph is $\mathbf{y = -|x -3| - 4}$

The equation is given as:

$\mathbf{y = |x -3| + 2}$

The rule of reflection across the x-axis is:

$\mathbf{(x,y) \to (x,-y)}$

So, we have:

$\mathbf{y = -|x -3| - 2}$

The rule of translation 2 units down is:

$\mathbf{(x,y) \to (x,y-2)}$

So, we have:

$\mathbf{y = -|x -3| - 2 - 2}$

$\mathbf{y = -|x -3| - 4}$

Hence, the equation of the transformed graph is $\mathbf{y = -|x -3| - 4}$

Read more about transformation at:

https://brainly.com/question/11707700