Algebra and Trigonometry, 5th Edition

Review Exercises

Determine whether the statement is true or false.

1. 1. The graph of $$x+y^2=1$$ is a parabola that opens to the left. [10.1]

2. 2. The graph of $$\frac{{\left(x-2\right)}^2}{4}+\frac{{\left(y+3\right)}^2}{9}=1$$ is an ellipse with center $$\left(-2,3\right)$$. [10.2]

3. 3. A parabola must open up or down. [10.1]

4. 4. The major axis of the ellipse $$\frac{x^2}{4}+\frac{y^2}{16}=1$$ is vertical. [10.2]

5. 5. The graph of a nonlinear system of equations shows all the solutions of the system of equations. [10.4]

In Exercises 6–13, match the equation with one of the graphs (a)–(h) that follow.

1. 

2. 

1. 6. $$y^2=5x$$ [10.1]

2. 10. ...