Question

Which of the following equations describes the graph?​

Answer 1

Answer:

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