Find the exact solutions and simplify as much as possible: 3x^2+1=6x

and

Step-by-step explanation:

This is a quadratic equation, so we start by rearranging its terms so we can apply the quadratic formula:

has two possible solutions given by:

So we rearrange the terms in the given quadratic equation bringing all terms to the left hhand side of the equal sign:

The solutions will then be:

Therefore the two possible answer are: and

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

because its not ur topic and its not for is for homework not that.