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Mathematics
AntonyTheGreatest:

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:

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:

got it

AntonyTheGreatest:

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helpandlearnandchat:

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

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