16Hit1600
Advanced MathEasy–Mediumx-intercept of a shifted exponential graph

Advanced Math practice question

In the xy-plane, the graph of y = 2^x − 8 crosses the x-axis at one point. What is the x-coordinate of that point?

Answer: 3

Set y = 0: 2^x = 8 = 2³, so x = 3.

Common wrong answers

If you answered 4
4 comes from 2^x = 16 or 2 × 4 = 8, confusing multiplication with a power.
If you answered 8
8 is the value 2^x must equal, not x.
If you answered -7
−7 is the y-intercept (2⁰ − 8), not the x-intercept.

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