5
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 5 • Algebra 2 with Probability

Which of the following describes the transformations of g of x is equal to negative 2 raised to the x plus 4 power minus 2 from the parent function f of x is equal to 2 to the x th power ?

Answer
A
shift 4 units right, reflect over the x -axis, shift 2 units down
B
shift 4 units right, reflect over the y -axis, shift 2 units down
C
shift 4 units left, reflect over the y -axis, shift 2 units down
D
shift 4 units left, reflect over the x -axis, shift 2 units down

Explanation

In g(x) = −2^(x + 4) − 2, the x + 4 inside the exponent shifts the graph 4 units left. The negative sign in front reflects the graph across the x-axis, and the −2 outside shifts it 2 units down. Therefore, the transformation is a 4-unit shift left, a reflection over the x-axis, and a 2-unit shift down.

AI-written and checked against the verified answer.

Previous
Next