Which of the following equations describes the graph?

y = -2(x - .5)^2 - 2.5

Step-by-step explanation:

You first want to find the vertex of the parabola, which is found at (.5, -2.5)

You then want to add this to the function "y = x"

y = (x - .5) - 2.5

You would then notice this would need to be a quadratic formula, so you would add the squared to the equation, and make the leading coefficient negative because it is facing downwards.

y = -(x - .5)^2 - 2.5

Finally, you would notice that the graph has a y-intercept of -3. You can Vertically stretch the equation y a factor of 2 to finish the graph.

y = -2(x - .5)^2 - 2.5

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.