The last image is the graph of 
In fact, it is an increasing exponential function, and it passes through the points 
, which reflects the fact that 
and 
, which reflects the fact that 
.
Now, 
is a child of the parent function we just described. Precisely, it is the result of the transformation 
In general, every time you perform a transformation like 
, you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case 
, we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
Answer:
x < -12
Step-by-step explanation:
-1/2x > 6
Multiply by -2 to isolate x
Remember that when multiplying by a negative, we flip the inequality
-2 * -1/2x < 6*-2
x < -12
Answer:
-4
Step-by-step explanation:
ok negative times negative = positive
and factors of 24 are
1,2,3,4,6,8,12,24
4 x 6 are the two consecutive EVEN numbers
so turn it to negative
-4 x -6 = 24
The largest is -4
The answer to the question is
20/30. 24/30,. 21/30
Awnser
y=13
Step-by-step explanation:
-3x+2y=56
-5x-2y=24
so first we want to get rid of one variable, in this example we dont need to multiply because the y's cancel out
so we have
-8x=80
x=-10
now plug in x into an original equation
-3(-10)+2y=56
2y=26
y=13
hope that helps
