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Active Calculus - Multivariable

Preview Activity 9.7.1.
For each equation below, identify its graph in Figure 9.7.1. Note that there are more graphs than equations, so some graphs will not be selected. To help you with identification, you might consider looking for \(x\)-intercepts, \(y\)-intercepts, and values of a variable for which the graph contains no points.
  1. \(\displaystyle \frac{x^2}{9}+\frac{y^2}{25}=1\)
  2. \(\displaystyle \frac{x}{3}+\frac{y}{5}=1\)
  3. \(\displaystyle \frac{y^2}{4}-\frac{x^2}{1}=1\)
  4. \(\displaystyle x=2y^2\)
  5. \(\displaystyle \frac{y^2}{9}-\frac{x^2}{25}=0\)
  6. \(\displaystyle \frac{x^2}{1}-\frac{y^2}{4}=1\)
A curve to match
(a)
A curve to match
(b)
A curve to match
(c)
A curve to match
(d)
A curve to match
(e)
A curve to match
(f)
A curve to match
(g)
A curve to match
(h)
Figure 9.7.1. A collection of graphs to match to equations