Maths-
General
Easy
Question
Given the equation , write an equation for a line that intersects the parabola only one time.
Hint:
A parabola is a symmetric curve that has a quadratic equation. It can be open upwards, downwards or sideways.
We are asked to find an equation that intersects the parabola only once.
The correct answer is: We are asked to find an equation that intersects the parabola only once.
Step 1 of 2:
Graphing the given equation, we get:
Here, the minimum point is at (-1.5,-0.25). It is a parabola that is open up.
Step 2 of 2:
Analyzing the minimum point, we get that a horizontal line through the value -0.25, would touch the parabola only once.
Thus, the required line is: y=-0.25
A horizontal line is a line that is parallel to the x- axis.
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