Is It Inverse?
y=-2x
What is direct variation with a = -2?
x = 5; y = 2
y = 10/x
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
How will the 2 in the numerator affect the graph?
y = 2/(x-3) + 7
What is a vertical stretch?
What are the asymptotes of y = 2/(x-1) + 2
x = 1 and y = 2
xy = 5
What is inverse variation with a = 5?
y = -13/x
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.
How will the 3 in the denominator affect the graph?
y = 2/(x-3) - 7
What is a horizontal shift right 3?
What are the asymptotes of y = (1/x) + 8?
y = x + 5
What is neither?
x = -22; y = -6
y = 132/x
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
How will the 7 outside the fraction affect the graph?
y = 2/(x + 3) + 7
What is a vertical shift up 7?
What are the asymptotes of y = -2/(x-6) + 7
x = 6 and y = 7
2x = 8/y
What is inverse variation with a = 4?
The variables x and y vary invsersely and y = 6 when x = 4. What is the constant of variation?
What is 24?
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
How will the 6 in the denominator affect the graph?
y = 1/(-6)(x-2) + 6
What is a vertical shrink and a reflection?
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
What is direct variation with k = 4?
The variables x and y vary inversely and y = 8 when x = 2. What is the constant of variation?
What is 16?
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
How will the 10 in the numerator affect the graph?
y = -10/(x-10) + 10
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