Which statement is true about f(x) = –6|x + 5| – 2?

Mathematics

2 answers:

Klio2033 [76]2 years ago

7 0

Answer:

The graph of f(x) is horizontally compressed.

Step-by-step explanation:

IT IS NOT C

Ad libitum [116K]2 years ago

3 0

The graph of f(x) opens upward

For the values of x < -5 the function is a line with negative slope, for the values of x > - 5 the function is a line with positive slope.

The two lines intercept in the point (-5,-2). That is the vertex of the function; a minimum value. So, all the other points are above the line y = -2.

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Write the equation of a circle with the following pints in the picture using the completing the square method. Thanks

pantera1 [17]

So hmm notice the picture below

you have the center, and a point on the circle... all you need is the radius

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 1}}\quad ,&{{ -2}})\quad 
% (c,d)
&({{ 3}}\quad ,&{{ -4}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\leftarrow r$

then use that radius in the circle's equation

$\bf (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad center\ ({{ h}},{{ k}})\qquad
radius={{ r}}$