x3
y = x2 is an (approximately) U shaped graph that is entirely above the x axis and is symmetric about the y axis. y = x3 is asymptotically negatively infinite when x is negatively infinite and positively infinite when x is positively infinite. It is symmetric about the line x+y=0.
(a) y = -3x + 1
Graph the following Inequalities: x > 3
Yes, y = -x3+1 is a function. You can graph it and see that it passes the vertical line test. See related link, below.
No translation will invert a quadratic graph.
IMPOSSIBLE
The graph shifts downward (negative y) by 9 units.
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.
y= -5
3
y equals x-4 plus 2 is the same as y = x-2. You just translate the graph of y=x, 2 units to the right, OR 2 down.