Solve for x in the equation x squared + 4 x minus 4 = 8.
x = –6 or x = 2
x = negative 2 plus-or-minus 2 StartRoot 2 EndRoot
x = –2 or x = 6
x = 2 plus-or-minus 2 StartRoot 2 EndRoot

We want to solve the given quadratic equation, we will see that the solutions are: x = 2 and x = -6

So the given equation is:

We can rewrite it as:

The solutions are given by the Bhaskara's formula, it gives:

So the two solutions are:

If you want to learn more about quadratic equations, you can read:

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Step-by-step explanation:

x² + 4x − 4 = 8

x² + 4x − 12 = 0

(x + 6) (x − 2) = 0

x = -6 or x = 2

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