Answer:
domain: {-12, -8, 0, 1} range: {0, 8, 12}
Step-by-step explanation:
domain are of all the input values shown on the x-axis. The range is the set of possible output shown on the y-axis.
Answer is A and B
A) -7.13 < -0.8
B) -0.86 < -0.8
C) -0.79 > -0.8
D) 0.846 > -0.8
The solution to the equation would be 21.5
Why?
If you do the equation backwards
30 - 8.5 = x
You would get 21.5
You can plug it into the first equation to check!
:)
Answer: Option C

Step-by-step explanation:
Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

If
then the graph of k(x) will be the graph of f(x) displaced vertically b units down.
If
then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.
In this case we have

We know that this function has its vertex in point (0,0).
Then, to move its vertex 7 units down we apply the transformation:
.
Then the function k(x) that will have its vertex 7 units below f(x) is

(-3x)⁴
Basically, just do this :
(-3x) × (-3x) × (-3x) × (-3x)
So now you have 9x² × 9x²
9 × 9 = 81
x² × x² = x⁴
So, your answer is 81x⁴
~Hope I helped!~