Unit 3 Quadratics Relations 1 Worksheet Page 44
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45Unit 3 (Quadratics 1) Solutions (Continued)
MBF3C
BLM 3.5.1 (continued)
Parabola Investigation #3
y-values: -10, 0, 6, 8, 6, 0, -10
Direction: down
Zeroes: -5 and -1
Axis: x = -3
Step Pattern: -2, -6, -10, …
The zeroes are the opposites of the numbers in the brackets with the x’s. The multiplier
again controls the direction of opening and the step pattern.
BLM 3.5.2
Equation
y = 3(x – 3)(x + 5)
y = –(x + 2)(x + 6)
y = x(x + 8)
Zeros
3 and –5
-2 and –6
0 and –8
Direction of
Up
Down
Up
Opening
Axis of
X = -1
X = -4
X = -4
Symmetry
Step Pattern
3, 9, 15, …
-1, -3, -5, …
1, 3, 5, …
Vertex of middle parabola is (-4, 4)
BLM 3.5.3
1.
2
Equation
y = 2(x – 5)(x + 9)
y = –(x + 2)
+ 6
y = 4(x+2)(x + 8)
Zeros
5 and –9
Not given by
-2 and –8
equation
Direction of
Up
Down
Up
Opening
Axis of
X = -2
X = -2
X = -5
Symmetry
Step Pattern
2, 6, 10
-1, -3, -5, …
4, 12, 20, …
Vertex
Not given by
(-2, 6)
Not given by
equation
equation
2. (a) 1 and 9, (b) when the cannonball has a height of zero, (c) t = 5 when the ball reaches
max height, (d) (5, 48) the max height of ball is 48 feet
3. break-even: 10 or 500 units
max profit: $30 012.5 at 255 units
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