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

The graph will always have zero x-intercepts.
The function will always have a minimum.
The y-intercept will always be the vertex.
The axis of symmetry will always be positive.

Question

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

The graph will always have zero x-intercepts.
The function will always have a minimum.
The y-intercept will always be the vertex. 
The axis of symmetry will always be positive.

AntonyTheGreatest · Answer

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

AntonyTheGreatest · Answer

got it

AntonyTheGreatest · Answer

helpandlearnandchat · Answer

Well... let's use the process of elimination

a. The graph will always have zero x-intercepts. this is obviously wrong, for example, if you know what the graph of $x^2-3$ is, it has 2 y-intercepts, so no

b. if a is negative, then it could have a maximum, so no

c. THe  y intercept will always be the vertex. this is true because it is the b value that shifts it horizontally

d. It's wrong, it's always zero