Transformations of Hyperbolas
Interactive practice questions
This is a graph of the hyperbola $y=\frac{1}{x}$y=1x.
A Cartesian plane has an $x$x-axis and $y$y-axis ranging from $-10$−10 to $10$10. Each axis has major tick marks at $2$2-unit intervals and minor tick marks at $1$1-unit intervals. A graph of a hyperbola $y=\frac{1}{x}$y=1x with two branches is plotted. One branch lies in the first quadrant, and the other branch lies in the third quadrant.
What would be the new equation if the graph of $y=\frac{1}{x}$y=1x was shifted upwards by $4$4 units?
What would be the new equation if the graph of $y=\frac{1}{x}$y=1x was shifted to the right by $7$7 units?
This is a graph of $y=\frac{1}{x}$y=1x.
This is a graph of $y=\frac{1}{x}$y=1x.
Consider the functions $y=\frac{4}{x}$y=4x and $y=\frac{2}{x}$y=2x :