415,926 views
31 votes
31 votes
Which Statement about the concavity of the parabola described by the equation y = 1/4 x2 is true?

Which Statement about the concavity of the parabola described by the equation y = 1/4 x-example-1
User HelloGoodbye
by
3.1k points

1 Answer

20 votes
20 votes

We have to check the statements for the concavity of the parabola:


y=(1)/(4)x^2

We will check each condition:

A) The coordinates of the vertex do not affect the concavity of the parabola, so this is false.

B) The concavity depends on the sign of the coeffcient of the quadratic coefficient, so this is statement is true.

C) As the sign of the quadratic coefficient is positive, the concavity of the parabola is up. This statement is true

D) As the previous statement is true, then this is false.

Answer: The statements that are true are B and C.

User Pabloxio
by
2.7k points