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01 rt 01

Fungsi Kuadrat

Sumbu simetri dari \(y = x^{2} + 8x + 5\) adalah ....
(A) \(x\) = -\(2\)
(B)&nbsp;\(x\) = -\(3\)
(C)&nbsp;\(x\) = -\(4\)
(D)&nbsp;\(x\) = -\(5\)
(E)&nbsp;\(x\) = -\(6\)
&nbsp;
Nilai ekstrim dari \(y\) = -\(x^{2} + 4x + 7\) adalah ....
(A) minimum \(9\)
(B) maksimum \(10\)
(C) minimum \(10\)
(D) maksimum \(11\)
(E) minimum \(11\)

Soal - 1 dan 2

Parabola <samp class="math mceNonEditable" data-latex="y = 2x^{2}&nbsp;- 8x + 1">_</samp> memiliki koordinat titik puncak ....&nbsp;
(A) (7, 2) (B) (-2, -7) (C) (2, -7) (D) (2, 7) (E) (-2, 7)
Fungsi kuadrat <samp class="math mceNonEditable" data-latex="x^{2} &ndash; 2ax + 2a">_</samp> mempunyai nilai minimum -<samp class="math mceNonEditable" data-latex="24">_</samp>, maka salah satu nilai <samp class="math mceNonEditable" data-latex="a">_</samp> adalah ....
(A) 0 (B) 2 (C) 4 (D) 6 (E) 10

Soal - 3 dan 4

Fungsi kuadrat <samp class="math mceNonEditable" data-latex="2ax^2-4x+3a">_</samp>&nbsp;mempunyai nilai maksimum <samp class="math mceNonEditable" data-latex="1">_</samp>, maka <samp class="math mceNonEditable" data-latex="27a^3-9a=">_</samp>&nbsp;....

Soal - 5

Grafik fungsi <samp class="math mceNonEditable" data-latex="f(x)">_</samp> = <samp class="math mceNonEditable" data-latex="ax^{2}">_</samp> + <samp class="math mceNonEditable" data-latex="bx">_</samp> + <samp class="math mceNonEditable" data-latex="c">_</samp> dengan <samp class="math mceNonEditable" data-latex="a">_</samp> &gt; <samp class="math mceNonEditable" data-latex="0">_</samp>, <samp class="math mceNonEditable" data-latex="b">_</samp> &lt; <samp class="math mceNonEditable" data-latex="0">_</samp>, <samp class="math mceNonEditable" data-latex="c">_</samp> &gt; <samp class="math mceNonEditable" data-latex="0">_</samp>, <samp class="math mceNonEditable" data-latex="b^{2}">_</samp> &ndash; <samp class="math mceNonEditable" data-latex="4">_</samp><samp class="math mceNonEditable" data-latex="ac">_</samp> &gt; <samp class="math mceNonEditable" data-latex="0">_</samp> berbentuk ....

Soal - 6

Dari gambar berikut berlaku&nbsp;.... <img src="//www.zenius.net/assets/pq-img/8e15142f25d04bc50ffc369b3a291d501d69c08f.png" width="217" height="162" /> (1) <samp class="math mceNonEditable" data-latex="an &gt; 0">_</samp>
(2)&nbsp;<samp class="math mceNonEditable" data-latex="bm">_</samp> &gt; <samp class="math mceNonEditable" data-latex="0">_</samp>
(3)&nbsp;<samp class="math mceNonEditable" data-latex="b^2 &ndash; 4">_</samp><samp class="math mceNonEditable" data-latex="ac &lt; 0">_</samp>
(4)&nbsp;<samp class="math mceNonEditable" data-latex="(b&nbsp;&ndash;&nbsp;m)^{2}">_</samp> &lt; <samp class="math mceNonEditable" data-latex="4a (c&nbsp;&ndash;&nbsp;n)">_</samp>

Soal - 7

Fungsi kuadrat yang bernilai positif untuk -<samp class="math mceNonEditable" data-latex="1 &lt; x &lt; 3">_</samp> dan mempunyai nilai maksimum <samp class="math mceNonEditable" data-latex="4">_</samp> adalah ....

Soal - 8

Agar bentuk <samp class="math mceNonEditable" data-latex="(t + 1)x^{2}">_</samp> &ndash; <samp class="math mceNonEditable" data-latex="2tx + t &ndash; 4">_</samp> berharga negatif untuk semua <samp class="math mceNonEditable" data-latex="x">_</samp> real, maka ....

Soal - 9

Jika <samp class="math mceNonEditable" data-latex="ax^{2}">_</samp> + <samp class="math mceNonEditable" data-latex="bx">_</samp> + <samp class="math mceNonEditable" data-latex="c">_</samp> = <samp class="math mceNonEditable" data-latex="0">_</samp> tidak mempunyai akar real maka grafik <samp class="math mceNonEditable" data-latex="y = ax^{2} + bx + c">_</samp> akan menyinggung garis <samp class="math mceNonEditable" data-latex="y">_</samp> = <samp class="math mceNonEditable" data-latex="x">_</samp> apabila ....

Soal - 10

Grafik <samp class="math mceNonEditable" data-latex="y = mx^{2} + m">_</samp> berada di atas grafik <samp class="math mceNonEditable" data-latex="y = x">_</samp> untuk ....