7
QuizMultiple Choice

Quadratic Functions — Quiz

Question 7 • Algebra II

What is the vertex and the equation of the axis of symmetry of the graph of y is equal to x squared minus 6 x minus 7 ?

Answer
A
vertex: open paren 20 comma negative 3 close paren a.o.s: x is equal to 20
B
vertex: open paren 3 comma negative 16 close paren a.o.s: x is equal to 3
C
vertex: open paren negative 3 comma 20 close paren a.o.s: x is equal to negative 3
D
vertex: open paren negative 16 comma 3 close paren a.o.s: x is equal to negative 16

Explanation

For y = x² − 6x − 7, the vertex’s x-coordinate is −b/(2a) = −(−6)/(2·1) = 3, so the axis of symmetry is x = 3. Substitute x = 3 into the equation: y = 3² − 6(3) − 7 = −16. The vertex is (3, −16), matching choice B.

AI-written and checked against the verified answer.

Previous
Next