Reflections and Transformations

  • Thread starter Thread starter Loppyfoot
  • Start date Start date
  • Tags Tags
    Transformations
Loppyfoot
Messages
192
Reaction score
0

Homework Statement


f(x) = 5 - g(x)
Do you reflect first, then translate, or translate then reflect?


Homework Equations





The Attempt at a Solution


So the graph would be translated up 5 units and reflected over the x-axis. Do you translate it up 5 units, then reflect? or vice versa?
 
Physics news on Phys.org
Reflect across the x-axis first, then translate up 5 units.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Find the Reflection Line of a Matrix, and Analyze the Transformation
Replies
10
Views
2K
Relationship between translation and rotation
Replies
7
Views
3K
Prove that |f| is bounded by a quotient
Replies
4
Views
1K
A Set in the plane is never isometric to a proper subset
Replies
11
Views
2K
Simple Transformation of a Function: translation, reflection, sketch
Replies
3
Views
2K
To deduce *geometrically*
Replies
5
Views
895
MHB Gre.al.12 transformationof a function
Replies
2
Views
3K
Odd and even extension of sine function
Replies
1
Views
2K
Graphical Transformation of y=ln (x)
Replies
4
Views
2K
How should I show that all solutions of this equation are bounded?
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top