Answer:
(2,-5)
Step-by-step explanation:
See attachment
One can also solve this by calculation:
y=2x-9
y=-2x-1
-
Rearrange either equation to find x. I'll use the first:
y=2x-9
2x = y+9
x = (y+9)/2
Now use this value of x in the second equation:
y = -2x-1
y =-2((y+9)/2)-1
y = (-2y-18)/2)-1
y = -y -9 - 1
2y = -10
y = -5
Now use -5 for y in the rearranged equation:
y = -2x-1
-5 = -2x-1
-2x = -4
x = 2
Solution is (2,-5)
But the question wants a graph solution, which is also fun when you use DESMOS.
Substituting, we have
... f(x+4) = (x+4)² + 8(x+4) +7
... = x² +8x +16 +8x +32 +7
... = x² + 16x + 55
Subtracting the original, we have
... f(x+4) - f(x) = (x² +16x +55) -(x² +8x +7)
... f(x+4) - f(x) = 8x +48
The answer is (-2,2)...................
6(4x+1)= 24x+6, so your answer has to be B