the graph is moved down 6 units
y=x2+4x+1
1
y=x2
x2+(y-x2/3)2=1
9
Therefore x2=9+y2. And x is the square-root of that (with two values plus and minus). Choose a value of y, and work out x2 and therefore the values of x. Plot the two (+ and -) on a graph and continue for more values of y.
No translation will invert a quadratic graph.
First, reflect the graph of y = x² in the x-axis (line y = 0) to obtain the graph of y = -x²; then second, shift it 3 units up to obtain the graph of y = -x² + 3.
7
the graph is moved down 6 units
y=x2+4x+1
y = - x2 +6x - 5.5
1
y=x2
x2+(y-x2/3)2=1
y = x2 + 4 The graph is a parabola, with its nose at y=4 on the y-axis, and opening upward.