The graphs of three functions are shown.
i need !

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.

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

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    

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step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3