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:
The number of earned runs is 28.
Step-by-step explanation:
Earned runs average:
The earned runs average of a pitcher is the number of runs the he/she gives each 9 innings on average.
Find the number of earned runs when the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.
Solved by proportions, using a rule of three.
For each 9 innits, the pitcher gives 2.25 runs. How many runs for 112 innings?
9 innings - 2.25 runs
112 innings - x runs
Applying cross multiplication:
The number of earned runs is 28.
Answer:
xfchgvm tov h 7 6 5
Step-by-step explanation:
4 ft because if there all doubled it means there all two and area is length times width so 2 times 2 is 4
