Question

The standard form of the equation of a parabola is y = x2 - 6x + 14. What is the vertex form of the equation?

Answer 1

Hello,

y=x²-6x+14
==>y=x²-2*3x+9+5
==>y=(x-3)²+5
Vertex is (3,-5)

Answer 2

Answer:The vertex form is y=(x-3)^2+5

Step-by-step explanation: 1) First consider this equation: a(x+h)^2+k

2)FInd the value of h: b/2a which is 6/2(1)=3. This means h=3

3)FInd the value of k: c-b^2/4a which is 14-6^2/4(1) which turns into 14-36/4. This then equals 14-9=5. This means k=5

4) Plug in the numbers into the equation: y=a(x+h)^2+k which is y=(x-3)^2+5