Question

The graphs of three functions are shown. I need help please!

Answer 1

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