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Is It Inverse?
Using Inverse
Tables...
Graphs!
Asymptotes
100

y=-2x

What is direct variation with a = -2?

100

x = 5; y = 2

y = 10/x

100

Tell whether these values represent direct variation, inverse variation, or neither. Write an equation.

x: -10, -5, 15, 20, 40

y: -30, -60, 20, 15, 7.5

I.V. 

y = 300/x

100

How will the 2 in the numerator affect the graph?

y = 2/(x-3) + 7

What is a vertical stretch?

100

What are the asymptotes of y = 2/(x-1) + 2

x = 1 and y = 2

200

xy = 5

What is inverse variation with a = 5?

200
x = 13; y = -1

y = -13/x

200

Tell whether these values represent direct variation, inverse variation, or neither. Write an equation if possible.

x: -20, -5, 14, 32, 50

y: -80, -20, 56, 128, 200

Neither direct nor inverse variation.

200

How will the 3 in the denominator affect the graph? 

y = 2/(x-3) - 7

What is a horizontal shift right 3?

200

What are the asymptotes of y = (1/x) + 8?

x = 0 and y = 8
300

y = x + 5

What is neither?

300

x = -22; y = -6

y = 132/x

300

Tell whether these values represent direct variation, inverse variation, or neither. Write an equation if possible.

x: -12, -10, -8, -5, -4

y: 2, 2.4, 3, 4.8, 6

Inverse variation. 

y = -24/x

300

How will the 7 outside the fraction affect the graph?

y = 2/(x + 3) + 7

What is a vertical shift up 7?

300

What are the asymptotes of y = -2/(x-6) + 7

x = 6 and y = 7

400

2x = 8/y

What is inverse variation with a = 4?

400

The variables x and y vary invsersely and y = 6 when x = 4. What is the constant of variation?

What is 24?

400

Tell whether these values represent direct variation, inverse variation, or neither. Write an equation if possible.

x: 4, 8, 12, 16, 20

y: 1, 2, 3, 4, 5

Direct Variation

y = (1/4)x

400

How will the 6 in the denominator affect the graph?

y = 1/(-6)(x-2) + 6

What is a vertical shrink and a reflection?

400

Write an equation whose graph is a hyperbola that has the given asymptotes and passes through the given point.

x = 7, y = 8; (-6, 0)

y = 104/(x-7) + 8

500
(y/x) = 4

What is direct variation with k = 4?

500

The variables x and y vary inversely and y = 8 when x = 2. What is the constant of variation?

What is 16?

500

Tell whether these values represent direct variation, inverse variation, or neither. Write an equation if possible.

(-5, 2), (-4, 2.5), (8, -1.25), (20, -.5)

Inverse Variation.

y = -10/x

500

How will the 10 in the numerator affect the graph?

y = -10/(x-10) + 10

What is a vertical stretch and a reflection?
500

Write an equation whose graph is a hyperbola that has the given asymptotes and passes through the given point.

x = -4, y = -4; (-8, 3)

y = -28/(x+4) - 4