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Nikitich [7]
3 years ago
10

Explain why you cannot use the axes of symmetry to distinguish between the quadratic functions

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0

That is because there are many quadratic functions that have the same axis of symmetry.  If a function is multiplied by a constant factor the axis of symmetry remains the same but the curved part of  the graph widens or narrows.

For example  x^2 + x - 6  and 2x^2 + 2x - 12  The last function will have same axis of symmetry and same roots as the first but the curved part will be narrower.

Also if we multiply the first function by -1 the curve will flip about the x axis but will have the same axis of symmetry

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<em>Hello</em><em>,</em><em> </em><em>there</em><em>!</em><em>!</em><em>!</em>

<em>Let</em><em> </em><em>ABC</em><em> </em><em>be</em><em> </em><em>a Right angled triangle</em><em>, </em>

<em>where</em><em>,</em><em> </em><em>AB</em><em> </em><em>=</em><em> </em><em>3</em>

<em>BC</em><em>=</em><em> </em><em>1</em><em>0</em>

<em>and</em><em> </em><em>AC</em><em>=</em><em> </em><em>x</em>

<em>now</em><em>,</em>

<em>As</em><em> </em><em>the</em><em> </em><em>triangle</em><em> </em><em>is</em><em> </em><em>a</em><em> </em><em>Right angled triangle</em><em>, </em><em>taking</em><em> </em><em>angle C</em><em> </em><em>as</em><em>refrence</em><em> </em><em>angle</em><em>.</em><em> </em><em>we</em><em> </em><em>get</em><em>,</em>

<em> </em><em>h</em><em>=</em><em> </em><em>AC</em><em> </em><em>=</em><em> </em><em>x</em>

<em>p</em><em>=</em><em> </em><em>AB</em><em> </em><em>=</em><em> </em><em>3</em>

<em>b</em><em>=</em><em> </em><em>BC</em><em>=</em><em> </em><em>1</em><em>0</em>

<em>now</em><em>,</em><em> </em><em>by</em><em> </em><em>Pythagoras</em><em> </em><em>relation we get</em><em>, </em>

<em>h =    \sqrt{ {p}^{2} +  {b}^{2}  }</em>

<em>or ,\: h =  \sqrt{ {3}^{2}  +  {10}^{2} }</em>

<em>by</em><em> </em><em>simplifying it we get</em><em>, </em>

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<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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