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 3 4 infinitely many

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 3 4 infinitely many

Answer 1

The correct answers are 1, 2, and 3.

Answer 2

## Step 1A line and a parabola can intersect in three ways. ## Step 2The first way is that they do not intersect at all. This happens when the line is parallel to the parabola and does not touch it at any point.## Step 3The second way is that they intersect at one point. This happens when the line is tangent to the parabola. A tangent line touches the parabola at exactly one point.## Step 4The third way is that they intersect at two points. This is the most common scenario. The line intersects the parabola at two distinct points.## Step 5The options "0" and "infinitely many" are not correct. A line cannot intersect a parabola at zero or infinitely many points.

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 3 4 infinitely many

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