cfrancisthe2nd cfrancisthe2nd
  • 03-05-2022
  • Mathematics
contestada

Rewrite the function by completing the square.

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

Respuesta :

gl1219
gl1219 gl1219
  • 03-05-2022

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]

Answer Link

Otras preguntas

Annabelle bought 48 ounces of grapes at the store. How many pounds of grapes did she buy.
i need help with this question. i am confused
What is meant by the term 'industry' ?​
Write the following in exponential form. d · d · d · d · d · d · d · d · d
Emily spent 40% of her check on rent, 12% on groceries, and 16% on untilities. how much did she have left from her $260 check?
If 544+366=910 then 910-544=366 explain why the statement is true using numbers,pictures,or words
Why is othering both harmful and hard to combat
A strip of glass with pieces of paper stuck to it.The glass is attracting the pieces of paper. What does this tell you about the charges on the glass and the pa
In the Great Migration of 1910 to 1940, African Americans moved: O A. From the East to the South. B. From the West to the East. C. From the South to the North.
Do you think science is objective? Why or why not?