Question

define x - intercept
where the
bola touches
tersects the
x - axis
a line that
divides the graph
into two equal
parts. i.e. cuts the
graph in half
where the
parabola touches
or intersects the
y - axis

Explanation:

The x - intercept of a graph (including a parabola) is defined as the point(s) where the graph crosses the x - axis. At these points, the y - coordinate is 0. For a parabola (a quadratic function \(y = ax^{2}+bx + c\)), we find the x - intercepts by setting \(y = 0\) and solving the quadratic equation \(ax^{2}+bx + c=0\). The other options:

• “A line that divides the graph into two equal parts, i.e., cuts the graph in half” describes the axis of symmetry (for a parabola, it is given by the formula \(x=-\frac{b}{2a}\) for \(y = ax^{2}+bx + c\)).
• “Where the parabola touches or intersects the y - axis” describes the y - intercept (found by setting \(x = 0\) in the function \(y = ax^{2}+bx + c\), giving \(y=c\)).

Answer:

Where the parabola touches or intersects the x - axis.