Which exponential function goes through the points (1, 8) and (4, 512)? f(x) = 4(2)^x f(x) = 8(2)^-x f(x) = 4(4)^-x f(x) = 2(4)^x

Which exponential function goes through the points (1, 8) and (4, 512)?
f(x) = 4(2)^x

f(x) = 8(2)^-x

f(x) = 4(4)^-x

☆☆☆☆☆☆☆☆☆☆☆☆f(x) = 2(4)^x

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c