Select the correct answer from each drop-down menu. Consider the function fx) = 3x + 1 and the graph of the function g(x) shown below.
6
4
2-
-6
2
x
-4
12
6
-2
-4
-6
The graph g) is the graph of Ax) translated
e units
®, and g(x) =
e
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Step-by-step explanation:

The y-intercept of f(x) = 3x+1 is +1.

The y-intercept of the line shown on the graph is -5. This means the line graphed has a y-intercept that is 1-(-5) = 6 units below that of f(x).

To make the line on the graph, f(x) is translated 6 units down.

The graph shown has a slope of 3, like f(x) does. Its equation in slope-intercept form is ...

  g(x) = 3x -5 . . . . . . . . . line with slope 3 and y-intercept -5

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Additional comment

The translation down 6 units is equivalent in this case to a translation right 2 units. You will notice that g(2) = 1, where f(0) = 1. We suspect your pull-down menus do not offer the option of "2 units right." It is always the case for linear functions that vertical translation and horizontal translation (by perhaps a different amount) can bring about the same change in the graph.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.