Mathematics: What is the vertex of the function f(x) = |x − 9| + 2? A. (9,2) B. (-9,-2) C. (-9,2) D. (9,-2)

What is the vertex of the function f(x) = |x − 9|

dayday0

04.01.2023

$\sqrt{20}$ .

Step-by-step explanation:

Given : points (−2, −3) and (2, −5).

To find : Find the distance .

Solution : We have given (−2, −3) and (2, −5).

Distance formula : $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$ .

$x_{1}=-2$

$x_{2}= 2$

$y_{1}=-3$

$y_{2}=-5$

Plug the values

$\sqrt{(2- (-2))^2+(-5- (-3))^2}$ .

$\sqrt{(2+2))^2+(-5+3)^2}$ .

$\sqrt{(4))^2+(-2)^2}$ .

$\sqrt{16+4$ .

$\sqrt{20}$ .

Therefore, $\sqrt{20}$ .

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