True and False about Characteristics of a Parabola
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These questions are about the quadratic function which takes the form:
y=ax^2+bx+c
Where a is non-zero.
Choose the false statements.
A. If c=0, then the graph of y will go through the origin
B. If B=0, then the graph of y will not be a parabola.
C. The graph of y will have a minimum value if a is positive.
D. The graph of y will always cross the x-axis.
E. The graph of y will always cross the y-axis.
F. The graph of y is symmetric about a line through its vertex parallel to the y-axis.
G. If the graph of y just touches the x-axis the equation y=0 has just one solution.
H. The function y takes its maximum or minimum value when the gradient takes the value zero.
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Solution Summary
True and false questions about the characteristics of the parabola are answered with reasons.
Solution Preview
The two false answers are B and D.
The reason for option B is that if b=0 the graph of y is still a ...
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