1) rewrite the equation by completing the square
(X+4)^2=9
2) what are the solution to the equation
Answer A= X=-4 plus and minus 3
Answer:
n = 6
Step-by-step explanation:
1/2n + 3 = 6
1/2n = 3
n = 6
The correct standard form of the equation of the parabola is:
= 4(y - 3).
<h3 /><h3>What is a parabola?</h3>
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.
For the given question,
Vertex of parabola is (-3,3)
Thus, the equation of the parabola is:

= 4(y-3)
Learn more about parabolas here:
brainly.com/question/64712
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As is the case for any polynomial, the domain of this one is (-infinity, +infinity).
To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,
The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.
Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).