Respuesta :

Y = -x^2 -1

This is because the parabola goes down which means a is negative and the y intercept is -1 which means the c in the equation is -1

An equation that describes the graph is [tex]y=-x^{2} +1[/tex]

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is parabola?

"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]

Learn more about an equation here:

https://brainly.com/question/649785

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