Question

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

Answer 1

Answer:

It's the last choice.

Step-by-step explanation:

It has a V shape because of the absolute value lines |    |

But it is  an inverted V because of the leading negative.

The vertex is at y = 1 because of the + 1.

The + 4 moves the whole graph 4 units to the left of the origin.

So the vertex is at (-4, 1)

Answer 2

Answer:

The correct option is graph D. because the equation has all negative x values, meaning this graph will be to the left.

Why is the graph not facing upwards?

This is because some of the y values are equal to 1 or negative 1, causing the graph to face downwards.