If g(x) is the image of y=−2x^2−16x+2 after a translation left 4 units and down 3 units, write the equation of g(x) in the standard form of a quadratic function and describe its graph.

Question

The standard form equation is g(x)= _____

The graph of g(x) is a parabola that opens ________ with a vertex at _______

Answer 1

y = -2(x² + 8x + 16) + 2 + 32 Completion of the Square

y = -2(x + 4)² + 34

g(x) = -2x² + 37