missgurlpurrr
Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Rewrite the function by completing the square. f(x)=x^2+16x-46
​

Sagot :

abcdefdfgfghh

Answer:

[tex]f(x)=(x+8)^{2}-110[/tex]

Step-by-step explanation:

Completing the square is a multi-step process that involved rewriting an equation such that it has a factored term, a coefficient, and a constant. First, group the equation, then add a term such that the grouped part of the equation can be simplified, then balance the equation, finally simplify and factor the equation.

[tex]f(x)=x^{2} +16x - 46\\[/tex]

Group;

[tex]f(x)=(x^{2}+16)-46[/tex]

Add in a term that makes the grouped part of the equation a perfect square, this can be done by dividing the linear term by 2, then balancing the equation;

[tex]f(x)=(x^{2}+16x+64)-46-64[/tex]

Simplify, factor;

[tex]f(x)=(x+8)^{2} - 110[/tex]

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.