1/3,0,1,-2 what are the next 3 terms of the sequence

Answers

Answer 1

Answer: Hello,

One solution may be
$a_(n+1)=a_(n)*(-3) +1$

$a_(0)=(1)/(3)$

$a_(1)=(1)/(3)*(-3) +1=0$
$a_(2)=0*(-3) +1=1$
$a_(3)=1*(-3) +1=-2$

$a_(4)=(-2)*(-3) +1=7$
$a_(5)=7*(-3) +1=-20$
$a_(6)=(-20)*(-3) +1=61$
...
REM:
$a_(n)=((-3)^(n))/(12)+(1)/(4)$

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write an equation of the parabola that has the same shape as the graph of f (x)=4x^2, but with the point (-9,2) as the vertex

Answers

The equation of the parabola is y = a(x - h)^2 + k, where (h,k) is the coordinates of the vertex. In this case, the equation would be y = 4(x + 9)^2 + 2.

How will you define parabola?

Any point on a parabola is equally distant from the directrix, a fixed straight line, and the focus, a fixed point. An U-shaped plane curve is a parabola.

What is a parabola in a graph?

Drawing a parabola for the quadratic function f(x) = $ax^(2)$ + bx + c results in a U-shaped curve. When an is smaller than zero, the parabola's graph is downward (or opens downward). When the value of an is greater than 0, the parabola's graph ascends (or opens up).

Is a parabola a shape?

Every point on a parabola is equally distant from both a focus, or central point, and a directrix, or connecting line. It is a U-shaped curve that frequently appears in math.

Given,

Graph f(x) = $4x^(2)$

Vertex = (-9,2) = (h,k)

So, We can represent the equation in the form of

f(x) = y = a $(x-h)^(2)$ + k

= 4 $(x+9)^(2)$ + 2

Now simplifying the equation y = a $(x-h)^(2)$ + k to y = $ax^(2)$ + bx +c

f(x) = 4 $(x+9)^(2)$ + 2

= $4x^(2)$ + 72x + 326

∴ f(x) = $4x^(2)$ + 72x + 326 is the equation of parabola

Learn more about the parabola here:
brainly.com/question/64712
#SPJ2

following f(x)=af(b(x-h))+k as my general guideline for writing transformations, you need to know the point (h,k) serves as the "new origin" of the function.
in your original equation (the squared function),
a=4
b=1
h=0
k=0
we need h=-9 and k=2, so plopping those numbers in gives you
f(x)=4(x+9)^2 +2

The temperature on Tuesday was -5°C. The temperature on Wednesday was 5°C, write an inequality that correctly compares the temperatures .

Answers

Answer:

The temperature was higher on Wednesday than on Tuesday.

Step-by-step explanation:

-5<5

Is it true that a line with slope 1 always passes through the origin? Explain your reasoning.

Answers

Well, yes and no.

Yes, because the straight line needs to pass through a number greater than 0, and 1 is obviously greater than 0.

However, y = x + 1 is not the same as y = x.

hope this helps.! let me know if it's in any way confusing..

I'd be happy to help!

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Answers

Answer:

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Step-by-step explanation:

700$=102% so the price before the increase was 100%

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