Solve AV Equations
|x + 2| = 6
x = 4, -8
What is the Vertex of:
y = |x + 1| - 2
(-1, -2)
What is the Equation with this information?
Vertex: (2, 1)
Slope: 1
y = |x - 2| + 1
|x + 3|< 5
x < 2 AND x > -8
Does this Inequality have a Dotted Line or Solid Line?
y < |x + 4|
Dotted
2|x - 5| = 0
x = 5
What is the Vertex of?
y = 3|x + 3| + 8
(-3, 8)
What is the Equation with this information?
Vertex: (5, 0)
Slope: -1/6
y = -1/6 |x - 5|
|x - 2| - 5 < -2
-1 < x < 5
Do you Shade this Inequality Above or Below?
y > |x - 4| + 2
Above
4|x + 5| + 1 = -2
No Solutions
Does this graph open Up or Down?
y = 4|x - 7|
Up
What is the Equation with this Information?
Vertex: (4, 5)
Point: (6, 7)
2|10b + 7| - 1 > 73
b > 3 or b < -22/5
Does this Inequality open Up or Down?
y > -2/5 |x + 4| + 9
Down
3|x + 2| - 6 = -3
x = -1 or x = -3
How many units does this graph translate Right or Left from the Parent Function y = |x|?
y = 5|x - 2| + 4
Right 2 Units
What is the Equation with this Information?
Vertex: (-4, -8)
Point: (1, 7)
y = 3|x + 4| - 8
7|n/3| - 9 < 12
-9 < n < 9
Is the point (0,0) a Solution to this Graph?
y < -3|x| + 2
Yes!
7 - 2|x - 4| = 5
x = 5 or x = -3
Is this equation Wider, Narrower or the same width as the Parent Function y = |x|?
y = -3/4 |x + 5| - 5
Wider
What is the Equation with this Information?
Vertex: (-5, -4)
Point: (-9, -6)
y = -1/2 |x + 5| - 4
7 + |6v + 7| < 60
-10 < v < 23/3
Is the Point (-2, -4) a Solution to this graph?
y > |x + 2| - 4
No, not a solution