Question

3. Write all forms of aquadratic function:Complete the square towrite in vertex form.x2 - 4x + 1

Answer 1

`\begin{gathered} 1.x^2-4x+1\text{ a}=x^2\text{ or 1; b}=-4;\text{ c}=1 \\ h=(-b)/(2(a)) \\ h=(-(-4)/(2(1)) \\ h=(4)/(2) \\ h=2 \\ V(h,k) \\ K=(4ac-b^2)/(4a)=(4(1)(1)-(-4)^2)/(4(1)) \\ K=(4-(16))/(4) \\ k=(12)/(4)=3;then\text{ } \\ V(2,3);\text{ X}=2\text{ and Y}=3 \\ \\ \\ \end{gathered}`

1.To find the vertex of the quadratic function we must apply the formula to find h which is equivalent to point x and then apply the formula to find K which is equivalent to point Y for the coordinates of the quadratic function.

2.For this, it is very important to know how to identify each of the values ​​of the quadratic equation for a, for b and for c .

3.It is important to know that when a negative number is raised to a power the result will be positive.