To answer this, you need to get "d" on one side by itself. To do this, add 8 to both sides of the equation.
d- 8 + 8 = 5 + 8
-8 and +8 cancel out leaving:
d = 13
Your answer is d = 13
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
-6*3 =-18
11*4=44
-18/44. Reduce. Divide top and bottom by 2
-9/22
