Solving Quadratic & Graph of y= |x+a| +b

  • Thread starter Thread starter Chikawakajones
  • Start date Start date
  • Tags Tags
    Graph Quadratic
Chikawakajones
Messages
22
Reaction score
0
2 Problems.!

#1 Tell Whether The Quadratic Has A Maximum Value Or A Minimum Value. The Find The Value. Round To The Nearest Tenth.

F(x)= -x² -6x - 7


#2 Let y = | x+a | +b, Where a ‡ 0 and b ‡ 0 . Explain how the values of a and b affect the graph of the functions as compared to the graph of y= |x|.



I NEED HELP FAST HURRY! THANK YOU!
 
Mathematics news on Phys.org
QUICK! Tell us what you did so far so we can HELP YOU! :-)
 
Chikawakajones said:
#1 Tell Whether The Quadratic Has A Maximum Value Or A Minimum Value. The Find The Value. Round To The Nearest Tenth.

F(x)= -x² -6x - 7

F has a max. I'm not sure how to do it without calculus though. i guess there's something about the coefficients of F...


#2 Let y = | x+a | +b, Where a ‡ 0 and b ‡ 0 . Explain how the values of a and b affect the graph of the functions as compared to the graph of y= |x|.
the a moves the graph along the x-axis, the b loves it up & down. how? how about you figure it out... :wink:
 
You can complete the square to find the max.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.

Similar threads

Back
Top