Question #2e63a

1 Answer

Referring to the same frame, the second #y = x^2# graph is the parabola with vertex at O, axis along y-axis and focus at #(0, 1/4)#. The 1st #y=x^2-3# graph is this brought down, by 3 units,

Explanation:

Referring to the same frame of axes, for both the graphs, the second

#y = x^2# graph is the parabola with vertex at O, axis along y-axis

and focus at #(0, 1/4)#. The graph for the first parabola #y=x^2-3# is

obtained by moving the second down, by 3 units,

The parabolas are of the same size #a = 1/4#. They are coaxial,

along y-axis, upwards..

The vertex of the first #y+3= x^2# is at #(0, -3)# and its focus is at
#(0, -11/4)#.