Question

Use what you know about transformations of the quadratic functions. How would the equation of an exponential function change to have an x-intercept? Write an example of an exponential function with an x-intercept. Explain your reasoning.

A. If a negative number were subtracted from the exponential function it would move down the y-axis creating an x-intercept; y = 3 • 2^x − (−5).
B. If a number were added to the exponential function it would move up the y-axis creating an x-intercept; y = 3 • 2^x + 5.
C. If a number were added to the exponential function it would move down the y-axis creating an x-intercept; y = 3 • 2^x + 5.
D. If a positive number were subtracted from the exponential function it would move down the y-axis creating an x-intercept; y = 3 • 2^x − 5.

Answer 1

D. If a positive number were subtracted from the exponential function it would move down the y-axis creating an x-intercept; y = 3 • 2^x −5.

Explanation: