For all functions of the form f (x) = ax2 + bx + c, which is true when b = 0?

A. The graph will always have zero x-intercepts.

B. The function will always have a minimum.

C. The y-intercept will always be the vertex.

D. The axis of symmetry will always be positive.

Question

Mathematics

Hassan Maynard

24 September, 05:53

For all functions of the form f (x) = ax2 + bx + c, which is true when b = 0?

A. The graph will always have zero x-intercepts.

B. The function will always have a minimum.

C. The y-intercept will always be the vertex.

D. The axis of symmetry will always be positive.

+5

Answers (1)

Know the Answer?

Keshawn Mendoza · Answer 1

When b=0

f (x) = ax^2+c

test each

A. with x^2-1, A is false

B. with - x^2-1, B is false

C. cannot find contradiction

D. the axis is actually x=0, 0 is nithere positive nor negative, false

answer is C

For all functions of the form f (x) = ax2 + bx + c, which is true when b = 0?A. The graph will always have zero x-intercepts.B. The function will always have a minimum.C. The y-intercept will always be the vertex.D. The axis of symmetry will always be positive.

For all functions of the form f (x) = ax2 + bx + c, which is true when b = 0?

A. The graph will always have zero x-intercepts.

B. The function will always have a minimum.

C. The y-intercept will always be the vertex.

D. The axis of symmetry will always be positive.