Identify the vertex of the graph of the given function.
4. y = |x + 1| - 3

(h,k) (-1,-3)

Step-by-step explanation:

-7

Step-by-step explanation: To identify the y-intercept of the line, we would first convert the equation to slope-intercept form.

In slope-intercept form or y = mx + b form, the y

is by itself on the left side of the equation.

So our first task in this problem is to get y by itself on the left side of the equation and we do that by first subtracting 2x from both sides to get 3y = -2x - 21.

Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.

Continuing on, to get y by itself we would

divide both sides by 3 to get y = -2/3x - 7.

Now our equation is written in slope-intercept form and

we can identity that the y-intercept of this line is -7.