I don't know what the graft is
We have the function:
()=−2(−3)^4+1
We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:
Vertical translation: f(x) - 1
= −2(−3)^4
Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:
f(x + 3) + 1 = −2()^4
Horizontal shift: f(x + 3) - 1
= −2x^4
We can make a horizontal expansion if we multiply this function by 1/2:
Horizontal expansion: ( f(x + 3) - 1 ) / 2
= -x^4
Finally, we make a reflection around the x-axis by multiplying this result by -1:
x-axis reflection: -( f(x + 3) - 1 ) / 2
= x^4
Answer:
x = 5
Step-by-step explanation:
-2 -1(coeffcient of -x) = -3
-3x +3 =-12
subtract 3 (the constant) from both sides
cancelling it on the left and leaving -3x = -15
divide each side by -3 leaving x and 5
x = 5
Answer: It is 10 because there are 2 other faces and 8+2=10
Step-by-step explanation:
Answer:
About 4 times per year.
Step-by-step explanation:
Research studies online.