Choose the graph that represents the equation y=-|x+4|+1

The graph that represents y = -|x + 4| + 1 is graph (a)

The equation is given as:

y = -|x + 4| + 1

The above equation is a transformation from the parent function, which is represented as:

y = |x|

First the function is reflected across the x-axis, then translated 4 units left, and lastly 1 unit up.

The graph that represents this transformation is graph (a)

Hence, the graph that represents y = -|x + 4| + 1 is graph (a)

Read more about transformation at:

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