Answer:
Step-by-step explanation:
vertex → [tex]\boxed{absolute\ value = 0}[/tex]
axis of symmetry → [tex]\boxed{x=x-value\ of\ vertex\ point}[/tex]
1)
f(x) = |x| - 5
vertex → |x| = 0
x = 0
f(0) = |0| - 5
y = -5
Vertex = (0, -5)
Axis of symmetry → x = 0
2)
g(x) = |x - 3|
vertex → |x - 3| = 0
x = 3
g(3) = |3 - 3|
y = 0
Vertex = (3, 0)
Axis of symmetry → x = 3
3)
h(x) = |x + 7| - 4
vertex → |x + 7| = 0
x = -7
h(-7) = |-7 + 7| - 4
y = -4
Vertex = (-7, -4)
Axis of symmetry → x = -7
