Maths-
General
Easy

Question

Given the equation y equals x squared plus 3 x plus 2, write an equation for a line that intersects the parabola only one time.

hintHint:

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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