Advanced MathVery hardDistance between the zeros of a vertex-form quadratic
Advanced Math practice question
The function r is defined by r(x) = 2(x − 3)² − 8. What is the distance between the two values of x for which r(x) = 0?
Answer: 4
(x − 3)² = 4 gives x = 1 or x = 5, which are 4 apart.
Common wrong answers
- If you answered 2
- 2 is the distance from the vertex to one zero.
- If you answered 6
- 6 is the sum of the zeros.
- If you answered 8
- 8 is the size of the minimum value.
More Advanced Math questions
- Very hard
The function f(x) = x² + 6x + 5 is rewritten in the form f(x) = (x + a)² + b. What is the value of b? - Very hard
What is the solution to the equation 6/(x − 2) = 3? - Very hard
The polynomial p(x) = x³ − 4x has how many distinct real zeros? - Very hard
The polynomial p is defined by p(x) = x³ + ax² + bx − 12, where a and b are constants. If x − 2 is a factor of… - Very hard
The function f, defined by f(x) = 3000(1.331)^(x/12), gives the value, in dollars, of an investment x months a… - Very hard
In the xy-plane, the parabola y = x² − 4x + 7 and the line y = mx − 2, where m is a constant, intersect at exa…
Not affiliated with the College Board. SAT is a trademark of the College Board.