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).
Answer:
1244 Ibf(Pounds force)
Step-by-step explanation:
The formula for Total force on a piston when given the diameter of the bore area =
F = P × π × d²/4
P = 150 lb/sq.In
π = 3.14
d = 3.25 in
Hence,
F = 150 lb/sq.In × 3.14 × 3.25 in /4
= 4974.9375 ÷ 4
= 1243.734375 Ibf(Pounds force)
Approximately = 1244 Ibf(Pounds force)
Answer:
6x-10
Step-by-step explanation:
see image below
The question is asking to state the expression for the volume of the pyramid base on the side of the pyramid, in my further research and calculation, I would say that the answer would be V= 1/2s^3. I hope you are satisfied with my answer and feel free to ask for more
Most have only 4 different equations.
For example,
6+8=14
8+6=14
14-6=8
14-8=6
