The function has a vertex at (2, -9).
<h3>
Quadratic function</h3>
The quadratic function can be represented by a quadratic equation in the Standard form: where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero () and the degree of the function must be equal to 2.
For solving this question, you should find the vertex of quadratic equation (h,k). Where, . On the other hand, the value of the k-coordinate will be found when you replace the value of h in the equation of your question.
1.
<em> Write this equation in Standard form:</em>
<em> Find h</em><em>, using the formula </em><em> </em>
<em> </em>
<em> Find k</em><em>, replacing x for the value of h</em>
<em> </em>
The vertex of quadratic equation is (3,0). Incorrect Option.
2.
<em> Write this equation in Standard form:</em>
<em> Find h</em><em>, using the formula </em><em> </em>
<em> </em>
<em> Find k</em><em>, replacing x for the value of h</em>
<em> </em>
<em> </em>
The vertex of quadratic equation is (-8,0). Incorrect Option.
3.
<em> Write this equation in Standard form:</em>
<em> Find h</em><em>, using the formula </em><em> </em>
<em> </em>
<em> Find k</em><em>, replacing x for the value of h</em>
<em> </em>
The vertex of quadratic equation is (2,-9). Correct Option.
4.
<em> Write this equation in Standard form:</em>
<em> Find h</em><em>, using the formula </em><em> </em>
<em> </em>
<em> Find k</em><em>, replacing x for the value of h</em>
<em> </em>
The vertex of quadratic equation is (3,4). Incorrect Option.
Learn more about the vertex of the quadratic function here:
brainly.com/question/26203210