Answer:
I guess that you want to know the transformations:
We start with:
f(x) = y = 4*x + 3
a)the transformed function is:
f(x) = y = -4*x - 3
So the sign changed.
This means that we go from (x, y) to (x, - y)
This is a reflection over the x-axis which changes the sin of the y component.
b) Now we go to f(x) = 4*x + 3
So the coefficient in the leading term changed.
This is a horizontal contraction:
A horizontal contraction of factor K for the function g(x) is: g(K*x)
In our case, we have:
f(K*x) = 4*(k*x) + 3 = x + 3
4*k*x = x
4*k = 1
k = 1/4
Then the transformation is an horizontal contraction of scale factor 1/4.
Answer:
Slope= 3
Step-by-step explanation:
y - 4= 3(x+6)
y - 4= 3x + 18 distributive property
y - 4(+4) = 3x + 18(+4)
cancel out the 4 with its oposite and apply to both sides.
y = 3x + 22 final answer
Remember the slope intersept equation... y=mx+b
m is slope
b means the y-intersept.
So the final slope of the line is 3. (demostrated by graph below)
<em>Program for graph: Desmos</em>
Answer:
32
Step-by-step explanation:
if there are 5 occupied rooms for every 2 unoccupied, you just have to (80/5)x2
(16)x2
32
Answer:
Step-by-step explanation:
Putting values into the equation
14(1) - 4 - 2(4)
14 - 4 - 8
10 - 8 = 2
