Parabola and its Vertex Remember, parabolas have equations : The Standard Form for a parabola :
6.3 Finding the Roots The roots of a quadratic function are the places that a parabola crosses the x...
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6.3 Finding the Roots The roots of a quadratic function are the places that a parabola crosses the x axis. roots Not all parabolas have 2 roots. Sometimes they have 1 root or no roots. 1 root No roots (parabola never touched x axis) Hint: Roots can also be called Zeros or x intercepts X axis
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Transcript of 6.3 Finding the Roots The roots of a quadratic function are the places that a parabola crosses the x...
6.3 Finding the Roots
The roots of a quadratic function are the places that a parabola crosses the x axis.
roots
Not all parabolas have 2 roots. Sometimes they have 1 root or no roots.
1 rootNo roots (parabola never touched x axis)
Hint: Roots can also be called Zeros or x intercepts
X axis
6.3 Finding the Roots
We are going to use the Diamond Method to find our roots. You mastered Diamond Method in MT4 and practiced it again in MT5. Now let’s use our roots to graph.
Please find the roots of the equation x2 + 6x – 16 = 0 and graph…
Answer: x2 + 6x – 16 = 0 – 16
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8 -2(x + 8)(x – 2) = 0
Now for the roots…
(x + 8) = 0(x – 2) = 0 X=-8, 2
6.3 Finding the Roots
The last thing to do is to plot your points on a graph…
X=-8, 2
That’s all. If you prepared yourself with MT5, this should be easy!
X axis
Let’s try one more example without the steps…
6.3 Finding the Roots
X=-7, 4
X axis
Let’s try one more example without the steps…
f(x) = - (x2 + 4x – 21) = 0 Notice the “-” in front of the equation. This will make your parabola “sad”.
( )( ) = 0 – 21
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7 -4x + 7 x – 4
The parabola is sad because the “x2” is negative!
