<u>We will proceed to find the equations in the vertex form in each case</u>
<u>Part a)</u> 
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side



<u>the vertex is the point
</u>
<u>Part b)</u> 
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side



<u>the vertex is the point
</u>
<u>Part c) </u> 
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side



<u>the vertex is the point
</u>
<u>Part d)</u> 
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side



<u>the vertex is the point
</u>
therefore
<u>the answer is </u>
