Advanced MathEasySecond x-intercept of a symmetric parabola
Advanced Math practice question
In the xy-plane, the graph of y = x² − 4 crosses the x-axis at x = 2 and at one other value of x. What is that other value?
Answer: -2
x² − 4 = 0 gives x = 2 or x = −2.
Common wrong answers
- If you answered 0
- 0 gives y = −4, not 0.
- If you answered 4
- 4 is the constant, not an intercept.
- If you answered -4
- −4 is the y-intercept.
More Advanced Math questions
- Easy
If f(x) = 3x − 7, what is the value of f(5)? - Easy
What are the solutions to x² − 9 = 0? - Easy
Which of the following expressions is equivalent to x² + 7x + 12 ? - Easy
The function g is defined by g(x) = x³ + 2x. What is the value of g(−2) ? - Easy
For x > 0, which of the following is equivalent to ∛(x⁵) ? - Easy
The function h is defined by h(x) = (x − 6)(x + 2). What is one value of x for which h(x) = 0 ?
Not affiliated with the College Board. SAT is a trademark of the College Board.