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:
x = -1, y = 4.
Step-by-step explanation:
y = -x + 3
y = x + 5 Adding these 2 equation eliminates x:
2y = 0 + 8
y = 8/2 = 4.
Substituting for x in the first equation:
4 = -x + 3
4-3 = -x
1 = -x
x = -1.
Answer:
x≥3.5
Step-by-step explanation:
8x ≥-28
x≥-28/8
x≥-3.5
Linear is the correct answer
