Advanced MathMediumy-intercept after reflecting and shifting an exponential graph
Advanced Math practice question
The graph of y = 2ˣ in the xy-plane is reflected across the x-axis and then shifted 3 units upward. What is the y-intercept of the resulting graph?
Answer: 2
The new equation is y = −2ˣ + 3. At x = 0: −1 + 3 = 2.
Common wrong answers
- If you answered 3
- 3 is the shift alone.
- If you answered 4
- 4 comes from 2⁰ + 3, forgetting the reflection.
- If you answered -2
- −2 comes from −1 − 3, shifting down.
More Advanced Math questions
- Medium
What are the solutions to x² − 5x + 6 = 0? - Medium
The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex? - Medium
If x² − 2x − 8 = (x + 2)(x − a), what is the value of a? - Medium
If √(x + 5) = 4, what is the value of x? - Medium
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))? - Medium
What are the solutions to x² + 6x + 8 = 0?
Not affiliated with the College Board. SAT is a trademark of the College Board.