Solve x^2+2=6 by graphing the related function.

Question

asked Feb 3, 2020 152k views

1 Answer

Gunavant Patel · Answer 1 · 2020-02-10T00:58:06+0000

Answer: option C.

Explanation:

Given a quadratic function of the form
ax^2+bx+c , if the coefficient a is less than zero, then the function is opened upward.

The options A is not opened upwards, then it is not the answer.

Then the given equation
x^2+2=6 can be written as:

$x^2+2-6=0\\x^2-4=0$

This function is equal to the parent function, shifted 4 units down.

Therefore, the graph that you are looking for must be a parabola that is opened upwards and has its vertex in the point (0,-4).

Then, the correct option is C. And the solution is:

$x=-2\\x=2$