Think about all of the ways in which a line and a parabola can intersect. Select all of the number of ways in which a line and a parabola can intersect. o 1 2 D 3 D 4

Question

Think about all of the ways in which a line and a parabola can intersect. Select all of the number of ways in which a line and a parabola can intersect. o 1 2 D 3 D 4

Answer 1

The number of ways in which a line and a parabola can intersect are 1, 2, and 3.

Answer 2

## Step 1A line and a parabola can intersect in three ways. This is based on the relative positions of the line and the parabola.## Step 2The first scenario is when the line intersects the parabola at two distinct points. This happens when the line cuts through the parabola.## Step 3The second scenario is when the line is tangent to the parabola, meaning it touches the parabola at exactly one point. This happens when the line is parallel to the axis of symmetry of the parabola.## Step 4The third scenario is when the line does not intersect the parabola at all. This happens when the line is above or below the parabola.

Problemas

Think about all of the ways in which a line and a parabola can intersect. Select all of the number of ways in which a line and a parabola can intersect. o 1 2 D 3 D 4

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