Answer:
See below
Step-by-step explanation:
we have f(x) = -(x-7) + 3
and we want to find f(4)
essentially, f(4) means that the input is 4 and to find the output we plug in the value of the input where ever x is and evaluate.
So for f(x) = -(x-7) + 3
To find f(4) we replace all x's with 4
f(4) = -(4-7) + 3
we now evaluate
==> subtract 7 from 4
f(4) = -(-3) + 3
==> apply two negative rule ( basically if there are two negative signs they cancel out and the number turn positive )
f(4) = 3 + 3
==> add 3 and 3
f(4) = 6
Hey there! :)
Answer:
C.
Step-by-step explanation:
For a graph to have a change in amplitude, there must be a coefficient in front of the equation, or the 'a' value.
Recall that the transformation form of a trigonometric graph is:
y = ±a(cos(b(x-h))+k
Where 'a' is the amplitude
'b' changes the period
'h' is a horizontal shift
'k' is a vertical shift
We can look at each choice and eliminate:
A. There is only a coefficient of -1 in front of the equation, which simply results in a reflection over the x-axis. This is incorrect.
B. This equation contains a b value of 2. This changes the period of the graph, not the amplitude. This is incorrect.
C. This equation contains a coefficient, or 'a' value of -2. The amplitude is changed by a factor of 2. This is correct.
D. This graph only contains a vertical shift of 1 unit up. This is incorrect.
Therefore, C is the correct answer.
This is what the following graph would look like:
Answer:
y-8=-4/3(x+2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-8)/(7-(-2))
m=-12/(7+2)
m=-12/9
simplify
m=-4/3
y-y1=m(x-x1)
y-8=-4/3(x-(-2))
y-8=-4/3(x+2)
Keep practicing. Never give up. Try harder. Do it until you get it right.
