7.1 & 7.2 Mixed Practice

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage of increase or decrease.

y = 8800(1.57)^x

• Growth, 57%

• Growth, 43%

• Decay, 43%

• Decay, 57%

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage of increase or decrease.

y = 390(0.92)^x

• Decay, 92%

• Growth, 8%

• Decay, 8%

• Decay, 80%

Describe the transformation from the parent function, y = 2^x.

y = 2^x - 2

• down 2 units

• up 2 units

• right 2 units

• left 2 units

Describe the transformation from the parent function, y = 2^x.

y = 2^{x + 3}

• down 3 units

• up 3 units

• right 3 units

• left 3 units

Describe the transformation from the parent function, y = 2^x.

y = 3(2)^{x - 1} + 5

• vertical stretch of 3, right 1 unit, up 5 units

• vertical compression of 3, right 1 unit, up 5 units

• horizontal stretch of 1/3, right 1 unit, up 5 units

• vertical stretch of 3, left 1 unit, down 5 units

Describe the transformation from the parent function, y = 2^x.

y = (2)^{3(x + 2)}

• horizontal stretch of 1/3, right 2 units

• horizontal compression of 3, left 2 units

• horizontal compression of 1/3, left 2 units

• vertical stretch of 3, left 2 units

Describe the transformation from the parent function, y = 2^x.

y = (2)^{3(x + 2)}

• horizontal stretch of 3, right 2 units

• horizontal compression of 3, left 2 units

• horizontal compression of 1/3, right 2 units

• vertical stretch of 3, left 2 units

Write the equation for the function that results from the transformation applied to the base function, y = 7^x.

reflect x - axis and a vertical shift down 3 units

• y = -7^x - 3

• y = 7 ^-x - 3

• y = -7^x + 3

• y = -7^{x - 3}

Write the equation for the function that results from the transformation applied to the base function, y = 3^x.

reflect x-axis and a horizontal shift right 2 units

• y = -3^{x - 2}

• y = 3^{-x + 2}

• y = -3^{x + 2}

• y = 3^{x - 2}

Describe the transformation from the parent function, y = 5^x.

y = 5^{x - 4} + 1

• right 4 units, up 1 unit

• left 4 units, up 1 unit

• right 4 units, down 1 unit

• left 4 units, down 1 unit