Answered

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Rewrite the function by completing the square.

f(x)=x^2-4x-26

Sagot :

gl1219

Answer:

[tex](x-2)^2-30[/tex]

Step-by-step explanation:

use the form [tex]ax^2+bx+c[/tex] to find the values of a, b, and c.

[tex]a=1, b= -4, c = -26[/tex]

consider the vertex form of a parabola

[tex]a(x+d)^2+e[/tex]

substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]

[tex]d=\frac{4}{2(1)}[/tex]

simplify the right side.

find the value of e using the formula [tex]e=c-\frac{b^2}{4a}[/tex]

[tex]e=30[/tex]

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