Which function represents the graph of f(x)=|2x| after it is translated 5 units to the left?

a.) g(x)=|2(x−5)|
b.) g(x)=|2(x+5)|
c.) g(x)=|2x+5|
d.) g(x)=|2x−5|

The answer is the option B

Step-by-step explanation:

we know that

The function

has the vertex  at point

The rule of the translation is

The translation of the point is equal to

so

The function g(x) has the vertex at point

therefore

the function g(x) is equal to

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.