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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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