Question

write an equation for a function that has a graph with the given characteristics.the shape of y=x^2, but upside down and shifted to the right 3 units. which of the following is the equation of the function?a. y=-(x-3)b. y=-x^2-3c. y=-x^2+3d. y=-(x+3)^2

Answer 1

The function y = x² has the shape of a U. To get this shape upside down, we have to multiplicate the function by -1, to get: y = -x²

f(x - c) translates f(x) c units to right, then

f(x) = -x²

f(x - 3) = -(x - 3)² = y