Unit 3 Quadratics Relations 1 Worksheet Page 43
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45Unit 3 (Quadratics 1) Solutions (Continued)
MBF3C
Day 4
BLM 3.4.1
Parabola 1:
Vertex (-1, -8), opens up, step pattern 2, 6, 10,…
Zeroes: 1 and –3, y-intercept: -6, optimal value: -8, axis of sym: x = -1
Parabola 1:
Vertex (3, 4), opens down, step pattern –1, -3, -5,…
Zeroes: 1 and 5, y-intercept: -5, optimal value: 4, axis of sym: x = 3
BLM 3.4.2
Money, Money, Money: (a) $450 000, (b) 200cars (c) break-even points (zeroes)
Sub’s Way: (b) y = 2(x – 3)2 – 18, (c) yes
The Golden Arch: (b) 8m, (c) yes, using the graph this can be seen!, (d) 1.25m and 6.75m
BLM 3.4.3
2
2
2
Equation
y = 3(x – 4)
– 8
y = –2(x + 1)
y = –(x + 2)
+ 10
Vertex
(-2, 10)
(4, -8)
(-1, 0)
Direction of
Up
Down
Down
Opening
Step Pattern
3, 9, 15, …
-2, -6, -10, …
-1, -3, -5, …
Max or Min?
min
Max
Max
Optimal Value
-8
0
10
Axis of Symmetry
X = 4
X = -1
X = -2
Day 5
BLM 3.5.1
Parabola Investigation #1
y-values: 8, 3, 0, -1, 0, 3, 8
Direction: up
Zeroes: -1 and 1
Axis: x = 0
Step Pattern: 1, 3, 5, …
Parabola Investigation #2
y-values: 5, 0, -3, -4, -3, 0, 5
Direction: up
Zeroes: -1 and 3
Axis: x = 1
Step Pattern: 1, 3, 5, …
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