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sveticcg [70]
3 years ago
15

Y = x —6x+8 The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation di

splays the x-intercepts of the parabola as constants or coefficients?
Mathematics
1 answer:
forsale [732]3 years ago
3 0

Answer:

y=(x-4)(x-2)

Step-by-step explanation:

Consider the given equation

y=x^2-6x+8

Factor form of a parabola: It displays the x-intercepts.

y=a(x-p)(x-q)          .... (1)

where, a is a constant and, p and q are x-intercepts.

So, we need to find the factored form of the given equation.

Splinting the middle term we get

y=x^2-4x-2x+8

y=x(x-4)-2(x-4)

y=(x-4)(x-2)         .... (2)

On comparing (1) and (2) we get

p=4,q=2

It means x-intercepts of the given parabola are 4 and 2.

Therefore, equivalent forms of the equation is y=(x-4)(x-2).

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1. Find an algebraic representation for an exponential function if it is known that f(x + 1) = 4.f(x)
MrMuchimi

f(x)=4^{x-1} is the algebraic representation for an exponential function

Step-by-step explanation:

Given:

f(x + 1) = 4.f(x)

f(3) = 16

To Find:

Algebraic representation for an exponential function=?

Solution:

From the formula f(x+n) = 4^n f(x)

when n= 1, x= 3

f(3+1)= 4(1)f(3)

f(4)= 4f(3)

Substituting the value of f(3)

f(4)= 4f(3)

f(4)= 4 x 16  

f(4)= 64

f(4)=4^2

f (5) = 4^2 x 16

f (5) = 4^2 x  4^2

f(5)= 4^4

Similarly,

F(6) = 4^5

Hence, f(x)=4^{x-1}

4 0
3 years ago
What angle corresponds to angle AFG?
viva [34]

Look at the image below :)

In case you didn't know, corresponding angles are equal to each other and are on the same side of the traversal

Therefore the answer is angle CGH

Hope this helped!  

7 0
3 years ago
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Can someone help me please
DiKsa [7]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
a snail going full speed was taking 1/8 of a minute to move 1/7 of a centimeter. at this rate, how long would it take the snail
Lana71 [14]
It will take 7/8 of a minute because you just multiply 1/8 by 7
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3 years ago
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I need this problem to be simplified
svetoff [14.1K]
The correct answer would be 2y^5
4 0
2 years ago
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