Answer:
{-29/4, -19/2, -47/4}
Step-by-step explanation:
Note that this is a decreasing arith. seq. Each term is smaller than the previous term, the result of the subtraction of 2 1/4 (equivalent to 9/4).
The fourth term is -11/4; subtracting 9/4 results in -20/4, or -5.
The fifth term is -20/4; subtracting 9/4 results in -29/4.
The 6th term is -29/4; subtracting 9/4 results in -38/4, or -19/2.
The 7th term is -38/4; subtracting 9/4 results in -47/4.
Thus, the "next three terms" following the first four terms are {-29/4, -19/2, -47/4}
Answer:
Shift 4 units down: 
Stretching f(x) by 4 : 
Shift 4 units left: 
Compress by 1/4 units : 
Step-by-step explanation:
Given
Required
Match the transformations (See attachment)
<u>Shift 4 units down</u>
Shifting down a function is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
<u>Stretching f(x) by 4 </u>
Stretching a function by some units is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
<u>Shift 4 units left</u>
Shifting a function to the left is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
Calculating f(x - 4)
Hence:
<u>Compress by 1/4 units </u>
This means that the function is stretched by 
Compressing a function is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
Calculating f(4x)
Hence:
Try to use this rule and use those 2 given points——-
(-7,-19) (0,3)
Answer:
B and D
Step-by-step explanation:
First, you have to solve the first equation. (Hint: you use the distributive property.)
2(5x + 2 + x)
10x + 4 + 2x
12x + 4
We can already see that B is correct and A is incorrect.
Now to solve C and D.
C = 2(5x + 3)
10x + 6
This is incorrect.
D = 2(6x + 2)
12x + 4
This is correct.
Or you can do the easy way
convert to slope intercept
y=mx+b
m=slope
get 1y all by itself
8x-4y=8
minus 8x both sides
-4y=-8x+8
divide both sides by -4
y=2x-2
y=mx+b
slope is 2
the hack way is
for an equatoin in standard form
ax+by=c
slope=-a/b
slope=2
if you want to graph 2 points and do it the long way, here it is
if x=0, y=-2
if y=0, x=1
(0,-2) and (1,0)
slope=(y2-y1)/(x2-x1)
slope=(0-(-2))/(1-0)=2/1=2
slope is 2
