I guess the parent function to be: y = |8x|.
To translate a function m units to the right, you must substitute x by x-m. You had y = |8x|. You substitute x by x-1/4, to get:
y = |8(x-1/4)| = |8x-2|
So, the function was translated to the right 1/4 unit.
To translate a function vertically n units, you add (translate up) or subtract (translate down) m to the function. You had y = |8x-2|. You subtract 7 to get:
y = |8x-2|-7
Hence, the parent function was translated 7 units down.
The vertex is the point where the content of the absolute value changes its sign, that is, the where it equals zero:
8x-2 = 0 <=> x=1/4
The x coordinate of the vertex is therefore x=1/4. To calculate the y coordinate of the vertex, you must substitute the x coordinate in the equation of the function, to get:
x=1/4 => y = |8(1/4)-2| - 7 = -7
The vertex is, therefore, (1/4,-7).
Finally, the axis of symmetry is a vertical line through the vertex: x=1/4 (the equation of a vertical line is of the form x=a).
The correct answer is D).
The equation become u = k p^2 / d.
According to the statement
we have given that some conditions for the equations and we have t make the equation from the given equations.
So, For this purpose, we have given that
The equation in which u is varies directly with the square of p and inversely with d and use the k as the constant of proportionality.
So, From all these above the equation will become is
u = k p^2 / d
In latex form the equation write as :

In this equation all the given conditions are applicable.
So, The equation become u = k p^2 / d
Disclaimer: This question was incomplete. Please find the full content below.
Question:
Write an equation that expresses the following relationship. u varies directly with the square of p and inversely with d In your equation, use k as the constant of proportionality.
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Answer:
the answer is c i also took the test
Step-by-step explanation:
i don't know why phantom's answer got deleted because his was right
Answer:
B) 
Step-by-step explanation:


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