Hello,
f(x)=2x²+1
f(ax+b)=2(ax+b)²+1=2(a²x²+2abx+b²)+1=2a²x²+4abx+2b²+1
af(x)+b=a(2x²+1)+b=2ax²+a+b
And f(ax+b)≠af(x)+b not linear
Answer:
He scored
points.
Step-by-step explanation:
Given:
Number of points for a correct answer = 
Number of points scored for an incorrect answer = 
Therefore, for 35 correct answers, points scored = 
Now, for 32 incorrect answers, points scored = 
Therefore, net number of points scored by Nathan is:

Therefore, Nathan scored
points.
Hope this helps, if you need any extra help feel free to reply to this comment.
8 is approximately the greatest i think
Answer:
22.5 cm
Step-by-step explanation:
In the figure attached the graph of the problem can be seen.
Given the triangles are similar then the next proportion must be satisfied:
13.5/9 = 18/12 = x/15 = 1.5
Isolating x, we get:
x/15 = 1.5
x = 1.5*15
x = 22.5 cm