Generally find the center and both positive and negative deviations about that point produces the same change in the function value.
So
x^2 + 5x + 6 is
(x+2.5)^2 - 0.25
The center is -2.5 and a deviation of -1 from that point, x = -3.5, would be
(-1)^2 - 0.25
and a deviation of +1, x = -1.5, would be
1^2 - 0.25
i.e. they are the same. Obviously, this property of the sign of the deviation being irrelevant would have to be true for every point.
So
x^2 + 5x + 6 is
(x+2.5)^2 - 0.25
The center is -2.5 and a deviation of -1 from that point, x = -3.5, would be
(-1)^2 - 0.25
and a deviation of +1, x = -1.5, would be
1^2 - 0.25
i.e. they are the same. Obviously, this property of the sign of the deviation being irrelevant would have to be true for every point.
Quick Reply
Related discussions
- sketching mod functions
- Range of a function
- Simple differentiation question
- inequality involving modulus
- Domain-parametric equations
- Graphing x^2a + y^2b = 100
- maths question help
- Help urgent mathematics
- Composite functions
- Help urgent maths
- Physics velocity question
- A level - algebra and functions
- Cartesian Equations
- Cartesian Equations-domain and range
- How many marks roughly would this question be worth (AQA A level Maths)?
- Preparing for the Oxford PAT- Maths
- Functions and Mod Graphs HW Help Please!!
- Stationary point for curve y=3sec(2x)
- UKMT senior challenge
- trigs graph and solution
Latest
Trending
Last reply 3 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 3 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
