Given the function f(x)=(7)/(6)x^(2)-4, find the value of f(-2) in simplest form. Answer:

Given Function: We are given the function f(x) = (7/6)x^2 - 4 and we need to find the value of f(-2). To do this, we will substitute x with -2 in the function and simplify.Substitute x with -2: Substitute x with -2 in the function f(x) = (7/6)x^2 - 4. f(-2) = (7/6)(-2)^2 - 4Calculate square of -2: Calculate the square of -2. (-2)^2 = 4Substitute value back: Substitute the value of (-2)^2 back into the function. f(-2) = (7/6)*4 - 4Multiply and simplify: Multiply (7/6) by 4. (7/6)*4 = 28/6Simplify fraction: Simplify 28/6. 28/6 = 14/3Subtract to find f(-2): Subtract 4 from 14/3. Since 4 is the same as 12/3, we will perform the subtraction using common denominators. 14/3 - 12/3 = 2/3Final result: We have found the value of f(-2) in simplest form. f(-2) = 2/3

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Given the function
f(x)=(7)/(6)x^(2)-4, find the value of
f(-2) in simplest form.
Answer:

Given the function $f(x)=\frac{7}{6} x^{2}-4$ , 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{7}{6} x^{2}-4

, find the value of

f(-2)

in simplest form.

\newline

Answer:

Given Function: We are given the function $f(x) = \frac{7}{6}x^2 - 4$ and we need to find the value of $f(-2)$ . To do this, we will substitute $x$ with $-2$ in the function and simplify.
Substitute $x$ with $-2$ : Substitute $x$ with $-2$ in the function $f(x) = \frac{7}{6}x^2 - 4$ . $f(-2) = \frac{7}{6}(-2)^2 - 4$
Calculate square of $-2$ : Calculate the square of $-2$ . $(-2)^2 = 4$
Substitute value back: Substitute the value of $(-2)^2$ back into the function. $\newline$ $f(-2) = \left(\frac{7}{6}\right)*4 - 4$
Multiply and simplify: Multiply $(\frac{7}{6})$ by $4$ . $\frac{7}{6}$ $*$ $4 = \frac{28}{6}$
Simplify fraction: Simplify $28/6$ . $\newline$ $28/6 = 14/3$
Subtract to find $f(-2)$ : Subtract $4$ from $\frac{14}{3}$ . Since $4$ is the same as $\frac{12}{3}$ , we will perform the subtraction using common denominators. $\newline$ $\frac{14}{3} - \frac{12}{3} = \frac{2}{3}$
Final result: We have found the value of $f(-2)$ in simplest form. $f(-2) = \frac{2}{3}$