Mathematics
Grade10
Easy
Question
Which line bisects the function f(x) = 2x2 - 3 in half?
- y = -3
- y-axis
- x = -3
- x-axis
The correct answer is: x-axis
f(x)=2x2-3 is the function having vertex at (0,3)
The axis of symmetry will pass through the vertex.
As the graph is of the type f(x)=ax2 so the axis of symmetry will be parallel to y-axis.
Therefore, x=0 (x-axis) will divide the graph into two halves.
The axis of symmetry intersects the parabola in half.
Since the function is f(x) = 2x2 - 3, the vertex is (0, - 3).
The value of k does not affect the axis of symmetry.
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