Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work. 4 -x^2 = -16

±2√5

Step-by-step explanation:

4 -x^2 = -16  can be rewritten as

20 = x^2.

This quadratic has two solutions:  find them by taking the square root of both sides:

x = ±√20   =  ±√4√5  =  ±2√5

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

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