Given the function f(x)=-(1)/(4)x^(2)-4, find the value of f(2) in simplest form. Answer:

Identify function and value: Identify the function and the value to be substituted into the function. We are given the function f(x) = -(1/4)x^2 - 4 and we need to find the value of f(2).Substitute x = 2: Substitute x = 2 into the function. f(2) = -(1/4)(2)^2 - 4Calculate square of 2: Calculate the square of 2. (2)^2 = 4Multiply by -1/4: Multiply the result by -1/4. -(1/4) * 4 = -1Add constant term: Add the constant term -4 to the result from Step 4. -1 - 4 = -5Combine results: Combine the results to find the value of f(2). f(2) = -5

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Given the function
f(x)=-(1)/(4)x^(2)-4, find the value of
f(2) in simplest form.
Answer:

Given the function $f(x)=-\frac{1}{4} x^{2}-4$ , find the value of $f(2)$ in simplest form. $\newline$ Answer:

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Algebra 2

Find the vertex of the transformed function

Full solution

Q. Given the function

f(x)=-\frac{1}{4} x^{2}-4

, find the value of

f(2)

in simplest form.

\newline

Answer:

Identify function and value: Identify the function and the value to be substituted into the function. $\newline$ We are given the function $f(x) = -(\frac{1}{4})x^2 - 4$ and we need to find the value of $f(2)$ .
Substitute $x = 2$ : Substitute $x = 2$ into the function. $f(2) = -\left(\frac{1}{4}\right)(2)^2 - 4$
Calculate square of $2$ : Calculate the square of $2$ . $(2)^2 = 4$
Multiply by $-\frac{1}{4}$ : Multiply the result by $-\frac{1}{4}$ . $-\left(\frac{1}{4}\right) \times 4 = -1$
Add constant term: Add the constant term $-4$ to the result from Step $4$ . $\newline$ $-1 - 4 = -5$
Combine results: Combine the results to find the value of $f(2)$ . $f(2) = -5$