   # Graphing Calculator Activities For each of the following equations, (1) predict the type and location of the graph, and (2) use your graphing calculator to check your predictions. (a) x 2 + y 2 = 100 (b) x 2 − y 2 = 100 (c) y 2 − x 2 = 100 (d) y = − x 2 + 9 (e) 2 x 2 + y 2 = 14 (f) x 2 + 2 y 2 = 14 (g) x 2 + 2 x + y 2 − 4 = 0 (h) x 2 + y 2 − 4 y − 2 = 0 (i) y = x 2 + 16 (j) y 2 = x 2 + 16 (k) 9 x 2 − 4 y 2 = 72 (l) 4 x 2 − 9 y 2 = 72 (m) y 2 = − x 2 − 4 x + 6 ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

#### Solutions

Chapter
Section ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 8.4, Problem 42PS
Textbook Problem
1 views

## Graphing Calculator ActivitiesFor each of the following equations, (1) predict the type and location of the graph, and (2) use your graphing calculator to check your predictions. (a) x 2 + y 2 = 100 (b) x 2 − y 2 = 100 (c) y 2 − x 2 = 100 (d) y = − x 2 + 9 (e) 2 x 2 + y 2 = 14 (f) x 2 + 2 y 2 = 14 (g) x 2 + 2 x + y 2 − 4 = 0 (h) x 2 + y 2 − 4 y − 2 = 0 (i) y = x 2 + 16 (j) y 2 = x 2 + 16 (k) 9 x 2 − 4 y 2 = 72 (l) 4 x 2 − 9 y 2 = 72 (m) y 2 = − x 2 − 4 x + 6

To determine

(a)

To plot:

The graph of equation x2+y2=100.

### Explanation of Solution

Approach:

• Press Y= on the calculator.
• Write the value of y in terms of x.
• Press WINDOW to change the ranges of Xmin, Xmax, Ymin, Ymax according to the equations.
• Press GRAPH.

Calculation:

Consider the given equation,

x2+y2=100

The above equation represents an ellipse with the center (0,0)

To determine

(b)

To plot:

The graph of equation x2y2=100.

To determine

(c)

To plot:

The graph of equation y2x2=100.

To determine

(d)

To plot:

The graph of equation y=x2+9.

To determine

(e)

To plot:

The graph of equation 2x2+y2=14.

To determine

(f)

To plot:

The graph of equation x2+2y2=14.

To determine

(g)

To plot:

The graph of equation x2+2x+y24=0.

To determine

(h)

To plot:

The graph of equation x2+y24y2=0.

To determine

(i)

To plot:

The graph of equation y=x2+16.

To determine

(j)

To plot:

The graph of equation y2=x2+16.

To determine

(k)

To plot:

The graph of equation 9x24y2=72.

To determine

(l)

To plot:

The graph of equation 4x29y2=72.

To determine

(m)

To plot:

The graph of equation y2=x24x+6.

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