Answer:
a = 2
b = - 0.33333333 or - 1/3. I would try the decimal first.
Step-by-step explanation:
The black one is f(x) = x^2. You can check this out by putting 2 in for x. The graph will read y = 4. The graph also shows that if x = +/-3 then y = 9
The blue line indicates that a > 1. It is positive.
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y = ax^2
Let x = 2. If x = 2 then y =8
8 = a*2^2
8 = a * 4 Divide both sides by 4
8/4 = a*4/4
a = 2
g(x) = 2*x^2
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The black inverted graph shows that x^2 is upside down. Therefore b<0. Furthermore, the graph is spread out a bit more than f(x) = x^2 b is a fractional amount.
When x = 3, y = 3
y = - b x^2
3 = - b 3^2
3 = - b * 9
3/9 = -b* 9
b = - 3/9 = - 1/3
This is a bit nasty. It's hard to know what the computer will accept. the answer is -1/3 or -0.3333333
