10
QuizMultiple Choice

Quadratic Functions: Factored Form — Quiz

Question 10 • Algebra I

What is the midpoint of the x -intercepts of f of x is equal to open paren x minus 2 close paren times open paren x minus 4 close paren ?

Answer
A
1 comma 0
B
3 comma 0
C
negative 1 comma 0
D
negative 3 comma 0

Explanation

The x-intercepts occur when f(x) = 0, so (x − 2)(x − 4) = 0 gives x = 2 and x = 4. The intercepts are (2, 0) and (4, 0); their midpoint is ((2 + 4)/2, (0 + 0)/2) = (3, 0). So the midpoint is 3 comma 0.

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