To rewrite the equation in vertex form, we can plug in the vertex (3, 9) and the height of the roof (27 ft) into the equation.
Since the vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) is the vertex and "a" is a scaling factor, the equation for the flight path of the bird would be:
y = -2(x - 3)^2 + 27
Therefore, the correct answer is:
y = -2(x - 3)^2 + 27.
The following graph represents the flight path of a bird after it swooped downward off the roof of a house. The height of the bird off the ground is y, and the number of seconds the bird has been flying is x
. The vertex of the flight path of the bird is (3,9) and the height of the roof it flies off is 27 ft. What would be the equation for the flight path of the bird if it were rewritten in vertex form and it was a quadratic function?
(1 point)
Responses
y=(2x−3)2+9
y is equal to open paren 2 x minus 3 close paren squared plus 9
y=(2x+3)2+18
y is equal to open paren 2 x plus 3 close paren squared plus 18
y=2(x−3)2−9
y is equal to 2 times open paren x minus 3 close paren squared minus 9
y=2(x−3)2+9
y is equal to 2 times open paren x minus 3 close paren squared plus 9
y=(x−3)2+18
1 answer