Writing Equations from Tables and Graphs

What is the parent function of f(x) = 1/3 * 3^(x - 1)?

• f(x) = 1/3 * 3^(x - 1)

• f(x) = 3^(x - 1)

• f(x) = 1/3 * 3^x

• f(x) = 3^x

What does a vertical shrink by a factor of 1/3 mean for the graph of the function?

• The graph is shifted down by 1/3 units.

• The graph is shifted up by 1/3 units.

• The graph is compressed vertically by a factor of 1/3.

• The graph is stretched vertically by a factor of 3.

How does a vertical shift of -1 affect the graph of the function?

• It shifts the graph up by 1 unit.

• It shifts the graph down by 1 unit.

• It shifts the graph left by 1 unit.

• It shifts the graph right by 1 unit.

What is the horizontal asymptote of the function f(x) = 1/3 * 3^(x - 1) - 1?

• y = 3

• y = 0

• y = 1

• y = -1

What is the domain of the function f(x) = 1/3 * 3^(x - 1) - 1?

• (-1, ∞)

• (0, ∞)

• (-∞, ∞)

• (-∞, 0)

What is the common multiplier for the function y = 1 * 2^x?

• 2

• 1/2

• 1

• 3

What is the y-intercept of the function y = 1 * 2^x?

• (1, 0)

• (0, 1)

• (2, 0)

• (0, 2)

What is the equation of the exponential function with a y-intercept of 8 and a multiplier of 4?

• y = 8 * 4^x

• y = 4 * 8^x

• y = 8 * x^4

• y = 4 * x^8

What is the slope of the linear function with points (0, 1) and (3, -1)?

• -2/3

• 3/2

• 2/3

• -3/2

What is the equation of the linear function with a y-intercept of -7 and a slope of 4?

• y = -7x + 4

• y = 4x - 7

• y = 7x - 4

• y = -4x + 7