Question

Consider a parabola P that is congruent to y 5 x 2 and with vertex at (0, 0). Find the equation of a new parabola that results if P is
a) stretched vertically by a factor of 5
b) compressed vertically by a factor of 2
c) translated 2 units to the right and reflected in the x-axis
d) compressed vertically by 3, reflected in the x-axis, and translated
2 units up

Answer 1

Thus the vertex is located at (0,b). ... Similarly, we can translate the parabola horizontally. The function y=(x−a)2 has a graph which looks like the standard parabola with the vertex shifted