Respuesta :
Answer: f(x) = -x^2 + 8x − 14
Step-by-step explanation:
just took the test.
To solve this question, we just have to rewrite the given equation into the standard quadratic equation. The standard equation is written as [tex]x^2 - 8x + 18[/tex]
Quadratic Equation
The standard quadratic equation is written as
[tex]y = ax^2 + bx + c[/tex]
Where the highest degree is 2.
The given equation is
[tex]f(x) = -(x-4)^2+ 2[/tex]
Let's rewrite this into the standard equation
[tex]f(x) = -(x-4)^2 + 2\\f(x) = (-x+4)^2 + 2\\f(x) = x^2 -8x + 16 + 2\\f(x) = x^2 -8x + 18[/tex]
The coefficients of the equation are
- a = 1
- b = -8
- c = 18
The standard equation is written as [tex]x^2 - 8x + 18[/tex]
Learn more on quadratic equations here;
https://brainly.com/question/8649555
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