Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Re-arrange this vertex equation y = 2 (x + 1)2 - 6 in standard form?

Sagot :

When we have a quadratic equation, we can have it in vertex and standard form.

The vertex form comes in the form:

[tex]y=a\mleft(x-h\mright)^2+k[/tex]

The standard form comes in the form:

[tex]y=ax^2+bx+c[/tex]

Converting to/from either simply requires some manipulations via expansion of the bracket as will be seen.

[tex]\begin{gathered} y=2(x+1)^2-6 \\ y=2(x^2+2x+1)-6 \\ y=2x^2+4x+2-6 \\ y=2x^2+4x-4 \end{gathered}[/tex]

Hence, we have our standard form.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.