Answer:
Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..
Step-by-step explanation:
Given function is:
3[|x-1|+2]
Can also be written as:
3|x-1|+6
As we can see that the -1 is grouped with x which means it is a horizontal shift of 1 unit to the right.
Now, 6 is added to the function and it is not grouped with x which means that there is a vertical shift of 6 units upward.
Lastly, 3 is multiplied with the term containing x which means that there is a vertical stretch of 3 units.
Hence, the correct option is:
Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..
Answer:
y=-8/5x+4
Step-by-step explanation:
The slope of perpendicular lines is the opposite reciprocal of the original equation.
To get the opposite reciprocal, flip the fraction and use the opposite sign.
Here, the slope is -8/5 because that is the opposite of 5/8.
To get the equation of the line, use point-slope and then distribute to get the equation in y=mx+b format.
Point slope: y-y1=m(x-x1). Use the coordinate (5,-4) in the equation.
y+4=-8/5(x-5)
Multiply (x-5) by -8/5 and simplify.
y+4=-8/5x+8
y=-8/5x+4
Answer:
x=-13 The solution is in the picture above. if you need more solutions let me know. :)
Answer:
no
Step-by-step explanation:
first simplify or solve the original expression ( 3(x + 11/2)-3 )
1. Parenthesis go first so do the 11/2 = 5.5 (x+5.5)
2. Distribute the 3 to the parenthesis (3x + 16.5)
3. subtract 3 from the expression (3x + 13.5)
Compare new equation with 3x + 11/2. Are they the same? (3x+13.5 vs. 3x + 11/2)
They are not the same thing.
