topic badge
CanadaON
Grade 11

Transformations of Hyperbolas

Interactive practice questions

This is a graph of the hyperbola $y=\frac{1}{x}$y=1x.

Loading Graph...

a

What would be the new equation if the graph of $y=\frac{1}{x}$y=1x was shifted upwards by $4$4 units?

b

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?

Easy
1min

This is a graph of $y=\frac{1}{x}$y=1x.

Easy
1min

This is a graph of $y=\frac{1}{x}$y=1x.

Easy
1min

Consider the functions $y=\frac{4}{x}$y=4x and $y=\frac{2}{x}$y=2x :

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

11U.A.1.8

Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = a f (k(x – d)) + c, and describe these roles in terms of transformations on the graphs of f(x) = x, f(x) = x^2 , f(x) = sqrt(x) and f(x) = 1/x

What is Mathspace

About Mathspace