Check your Understanding Transform the following quadratic functions into the vertex form () = ( − ℎ)2 + and identify the value of h and k. Quadratic Function Vertex Form h k 1. () = 2 + 2 2. () = 2 + 6 + 9 3. () = −32 + 6 − 5 4. () = 22 + 4 − 8 5. () = 62 + 24 + 25 ANYONE PO PA HELP NEED NA PO TALAGA IPASA PLS
Answers & Comments
Answer:
1.![y=(x^{2} +1)^{2} -1 y=(x^{2} +1)^{2} -1](https://tex.z-dn.net/?f=y%3D%28x%5E%7B2%7D%20%2B1%29%5E%7B2%7D%20-1)
h = -1 and k= -1
2.![y=(x+3)^{2} +0 y=(x+3)^{2} +0](https://tex.z-dn.net/?f=y%3D%28x%2B3%29%5E%7B2%7D%20%2B0)
h= -3 and k=0
3.
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Step-by-step explanation:
1. y =![x^{2} + 2x x^{2} + 2x](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%202x)
We must convert the Quadratic Function into Vertex form:
Use completing the square method
then, h = -1 and k= -1
2.![y = x^{2} + 6x+9 y = x^{2} + 6x+9](https://tex.z-dn.net/?f=y%20%3D%20x%5E%7B2%7D%20%2B%206x%2B9)
h= -3 and k=0
3.
h= -1 and k= -10
5.![y=6x^24x+25\\ ></p><p><img src=](https://tex.z-dn.net/?f=y%3D6x%5E24x%2B25%5C%5C)