1. Answer: y = -|x - 3| + 4
1. Step-by-step explanation:
NOTES: Observe the coordinates of the vertex (h, k). Then count the slope (rise over run) from the vertex toward the right. Then input the values of a, h, & k a into the equation: y = a|x - h| + k
Vertex (h, k) = (3, 4) → h = 3, k = 4
slope from vertex toward the right is 1 unit down & 1 unit right → a = -1
y = a|x - h| + k
y = -|x - 3| + 4
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2. Answer: [tex]\bold{y=\dfrac{1}{2}|x+4|}[/tex]
2. Step-by-step explanation:
Vertex (h, k) = (-4, 0) → h = -4, k = 0
slope from vertex toward the right is 1 unit up & 2 units right → [tex]a=\dfrac{1}{2}[/tex]
y = a|x - h| + k
[tex]y=\dfrac{1}{2}|x+4|[/tex]
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3. Answer: y = 2|x - 5| - 2
3. Step-by-step explanation:
Vertex (h, k) = (5, -2) → h = 5, k = -2
slope from vertex toward the right is 2 units up & 1 unit right → a = 2
y = a|x - h| + k
y = 2|x - 5| - 2
