Using the completing-the-square method, rewrite f(x) = x2 + 4x − 1 in vertex form

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Using the completing-the-square method, rewrite f(x) = x2 + 4x − 1 in vertex form

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

Group the terms like this \[f(x)=(x^2+4x)-1\] Take the coefficient of x, divide it by 2 and square it. What's \(\left( \frac{ 4 }{ 2 } \right)^2\) ?
4
Right, so add 4 inside the parentheses. This means you also have to subtract 4 outside, so the equation doesn't change. \[f(x)=(x^2+4x+4)-1-4\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Now factor the part in parentheses, and combine like terms on the outside
so would it be f(x)=(x^2+4x+4)-5
yes, but you also have to factor x² + 4x + 4
oh I got it. But can you help me with a few others?
ok
Using the completing-the-square method, find the vertex of the function f(x) = –2x2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point.
\(f(x)=-2x^2+12x+5\) Group it again \(f(x)=(-2x^2+12x)+5\) This time, because you have -2 in front of x², you have to factor it out. Can you do that?
would it be f(x)=-2(x^2+12x)+5
no, you have to divide 12 by -2 as well because it's also in parentheses
so it would be 6?
12/(-2)= -6 So you have \[f(x)=-2(x^2-6x)+5\] Now take the coefficient of x, that's -6. Divide it by 2, the square the result like we did above
okay so would it be minimum or maximum?
the number in front of x² is negative, so it's a maximum
okay so whats the point? (-3,5)?
You have to complete the square to find the point
If you don't want to do it that way, use \[x=-\frac{ b }{ 2a }\]
okay I just reset my exam so now I have different questions
ughhhh I need help

Not the answer you are looking for?

Search for more explanations.

Ask your own question