which of the following equations describes the graph?
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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