how do I demonstrate algebraically that the equaitons: (X2)^2+ 1 and
(x2)^2 +1 are equivalent?
well my guess is that if i expand it it will equal the same maybe?
so this is what i have done so far:
(x2)^2+1
(X^2+4X+4)+1
now collect all like terms os would it be as follows:
X^2+4X+5
now for
(x2)^2+1
(x^2+4x+4)+1
collect like terms
X^2+4X+5
hey wait they are the same did i just prove they were equivalent?
yes, you proved it.
No, I'm sorry, but they aren't equivalent. If you graph them you'll see that the second one is the first one shifted 4 points to the left. I'll prove it.
Here's what was originally posted;
how do I demonstrate algebraically that the equaitons: (X2)^2+ 1 and
(x2)^2 +1 are equivalent?
well my guess is that if i expand it it will equal the same maybe?
so this is what i have done so far:
(x2)^2+1
(X^2+4X+4)+1
now collect all like terms os would it be as follows:
X^2+4X+5
now for
(x2)^2+1
(x^2+4x+4)+1
collect like terms
X^2+4X+5
hey wait they are the same did i just prove they were equivalent?
The first one is (X2)^2+ 1.
When you expand it you get
x^24x+4+1 = x^24x+5.
You made a mistake expanding this; you had 4x, not 4x which it should be.
The second is (x2)^2 +1.
When we expand this we get
x^2+4x+4+1 = x^2+4x+5
The second one can also be see to be
((1)(x+2))^2+1=(x+2)^2+1=((x2)+4)^2+1
This is the first parabola shifted 4 units to the left. You can also see that the lowest point for the first one is 2 and the lowest for the second is 2)
If you meant to say that they are equivalent in some geometric sense, but simply shifted, then you'd be correct. But as they are written they do not identify the same parabola.
whatis the answer for 3y6y+583y
 👍
 👎
 👁
 ℹ️
 🚩
Answer this Question
Related Questions

LA
The CEO's inability to see the looming issues with his supply chain left him in the same position as the captain of the Titanic. Which term does this sentence demonstrate? denotation meaning analogy tone

algebra
solve the following equation algebraically. show your work. 17 = 13  8x

science
Which procedure could be used to demonstrate that matter is conserved during a chemical change or reaction?

physics
Using two billiard balls, in 34 sentences, design an experiment to demonstrate the law of conservation of momentum.

math
solve the following equation algebraically 6=x+2/3 could i get some help on how to solve this?

Physics
Consider a pair of planets for which the distance between them decreases by a factor of 5. Demonstrate that the force between them becomes 25 times greater

Calculus
Find the zeros of the function algebraically. (Enter your answers as a commaseparated list.) f(x) = 2x2 − 3x − 20 x =

Algebra
Let f(x)= (x2)^3+8 a. Show that this function is onetoone algebraically. b. Find the inverse of f(x)

3 grade math ms sue
1Explain how you can use a number line to show that 3/6 and 1/2 are equivalent fractions. my son write you can show these fractions are equivalent because if the numerator is half of the denomirator it can be 1/2 so 3/6 is just like 1/2. so that's why

Physics
Compute algebraically the resultant Of following coplanar force : 100N at 30° , 141.4N at 45° and 100N at 240°

science
describe an experiment to demonstrate that an expired air contains carbon dioxide

math
Find the binary equivalent of x^8+x^3+x+1 x^1000 + x^11 + x + 1 I just converted the decimalformat exponents to binary format (0's and 1's times powers of 2). The reason you did not get a reply so far is that most of the tutors have probably never heard

Calculus
Show that f(x)=4x^58x^4 is one to one algebraically. Then find the inverse. Not necessarily looking for the answer, i just don’t know how to put the problem together

Calculus
How would you find the limit of (secx1)/(x^2) as x goes to 0 algebraically?

Algebra
Which fraction is not equivalent to 6/10? 3/5 EQUIVELANT 12/20 EQUIVELANT 6/10  6/10 I know the first two are equivalent to 6/10 but I'm not sure about the last two.

algebra
Find algebraically the equation of the axis of symmetry and the coordinates of the vertex of the parabola whose equation is y= 2x8x+3

Algebra and Geometry
So I’m given a triangle. The side lengths are 17, 18, and 19 is the hypotenuse. I have to find the height (x) algebraically. How?

Math (Help Please)
1. Which of the following shows how this expression can be simplified? 2x + 6 + 3x − 4 A. x − 2 B. x + 2 C. 5x + 2 D. 5x − 2 2. Which is equivalent to the expression below? 7(2p − 1) A. 7p B. 14p − 1 C. 14p − 7 D. 14p − 8 3. Factor the

English
In "The Censors," Juan takes on the job of a government censor in a plan to approve his own love letter to Mariana. Instead he is executed after censoring his own message. What type of irony, if any, does this demonstrate? Verbal Institutional dramatic no

SAT math
In the xyplane, the line determined by (6,m) and (m,54) passes through the origin. Which of the following could be the value of m? A) 2 B) 18 C) 36 D) 48 Is the answer B since if you plug it in, the answer is zero? Also if it is, how can you do this
Still need help?
You can ask a new question or browse existing questions.