What is the equation, in standard form, of a parabola that contains the following points?

Question

Left parenthesis negative 2 comma negative 20 right parenthesis, left parenthesis 0 comma negative 4 right parenthesis, left parenthesis 4 comma negative 20 right parenthesis
(1 point)
Responses

y equals negative 2.5 x squared plus 5 x
Image with alt text: y equals negative 2.5 x squared plus 5 x

y equals negative x squared plus 4 x minus 4
Image with alt text: y equals negative x squared plus 4 x minus 4

y equals negative 2 x squared plus 4 x minus 4
Image with alt text: y equals negative 2 x squared plus 4 x minus 4

y equals negative 2.25 x squared plus 4.5 x minus 2
Image with alt text: y equals negative 2.25 x squared plus 4.5 x minus 2

Answer 1

The correct equation, in standard form, of a parabola that contains the given points is:

y = -2x^2 + 4x - 4.