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Maximum/Minimum Problems
Maximum/Minimum ProblemsMaximum/minimum problems involve finding the vertex of a quadratic
Maximum/Minimum ProblemsMaximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
(Need to find the y value of the vertex)
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
23 5y x x
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
(Need to find the y value of the vertex)
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
23 5y x x 2 13 5
3x x
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
(Need to find the y value of the vertex)
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
23 5y x x 2 13 5
3x x
21 13 5
6 12x
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
(Need to find the y value of the vertex)
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
23 5y x x 2 13 5
3x x
21 13 5
6 12x
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
(Need to find the y value of the vertex)
21 113 46 12
x
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
23 5y x x 2 13 5
3x x
21 13 5
6 12x
11maximum value is 412
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
(Need to find the y value of the vertex)
21 113 46 12
x
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
23 5y x x 2 13 5
3x x
21 13 5
6 12x
11maximum value is 412
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
(Need to find the y value of the vertex)
21 113 46 12
x
OR 21 4 3 559
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
23 5y x x 2 13 5
3x x
21 13 5
6 12x
11maximum value is 412
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
(Need to find the y value of the vertex)
21 113 46 12
x
OR 21 4 3 559
maximum value4a
Maximum/Minimum Problems
2e.g. ( ) Find the maximum value of 3 5i y x x
23 5y x x 2 13 5
3x x
21 13 5
6 12x
11maximum value is 412
Maximum/minimum problems involve finding the vertex of a quadraticRead the question carefully to see if it is the x value or the y value you are required to find.
(Need to find the y value of the vertex)
21 113 46 12
x
OR 21 4 3 559
maximum value4a
5912
11412
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
s
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
s
32 s
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
s
32 s 32A s s
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
s
32 s 32A s s
We want the dimensions, so it is the x value of the vertex we need to find.
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
s
32 s 32A s s
We want the dimensions, so it is the x value of the vertex we need to find.
232A s s
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
s
32 s 32A s s
We want the dimensions, so it is the x value of the vertex we need to find.
232A s s
2 32s s
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
s
32 s 32A s s
We want the dimensions, so it is the x value of the vertex we need to find.
232A s s
2 32s s
216 256s
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
s
32 s 32A s s
We want the dimensions, so it is the x value of the vertex we need to find.
232A s s
2 32s s
216 256s
dimensions for a maximum area are 16cm 16cm
(ii) A rectangle has perimeter of 64 cm. What dimensions would the rectangle have for maximum area?
s
32 s 32A s s
We want the dimensions, so it is the x value of the vertex we need to find.
232A s s
2 32s s
216 256s
dimensions for a maximum area are 16cm 16cm
Exercise 8E; 1a iv, 2a iii, then multiples of 3
