If p(x) is the image of y=−3x2−12x+2 after a translation right 2 units and up 4 units, write the equation of p(x) in the standard form of a quadratic function and describe its graph.

Question

If p(x) is the image of y=−3x²−12x+2 after a translation right 2 units and up 4 units, write the equation of p(x) in the standard form of a quadratic function and describe its graph.

The standard form equation is p(x)=

The graph of p(x) is a parabola that opens _________ with a vertex at ____. Enter the vertex as an ordered pair, including the comma.

Answer 1

p(x)=-−3x²+18

y=−3x²−12x+2=-3(x+2)² +14

move right 2

=−3x²+14

up 4

−3x²+18