Question

Select the point that is on the right side of the vertex of y = |x + 4| + 3.

(–3, 4)

(–4, 3)

(–5, 4)

(–6, 5)

Answer 1

When working with absolute values, remember that the quantity inside the | | has two values, one positive and one negative, so there will be two possible solutions. Set the quantity to each value and solve for the unknown.

y = |x + 3| + 4
y = ± (x + 3) + 4

If y = (x + 3) + 4,
y = x + 7

If y = - (x + 3) + 4,
y = - x - 3 + 4
y = - x + 1

y = y, so

x + 7 = - x + 1
x + x = 1 - 7
2x = - 6
x = - 6 / 2
x = - 3

and

y = - 3 + 7
y = 4

Point of Intersection (- 3, 4)

Answer 2

is it okay friend

Answer 3

thanku