Which of the following equations describes the graph?
y=-x^2+1

An equation that describes the graph is [tex]y=-x^{2} +1[/tex]
"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
"It is a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. "
For given question,
The graph describes the parabola.
The parabola opens downward, so the equation of the parabola would be,
[tex]y=-x^{2}[/tex]
We know that, for a function f(x) is transformed to f(x) + c if c > 0 then the graph of the function moves up by c units.
if c < 0 then the graph of the function moves down by c units.
As the graph of the parabola moves down by 1 unit, the equation of the parabola would be,
[tex]y=-x^2+1[/tex]
Therefore, the equation that describes the graph is [tex]y=-x^{2} +1[/tex]
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