Rewrite the following quadratic function in standard (vertex) form. Re

Maggenifh

Maggenifh

Answered question

2021-11-17

Rewrite the following quadratic function in standard (vertex) form. Report numbers as fractions when applicable.
f(x)=3x2+5x7

Answer & Explanation

Anthony Caraballo

Anthony Caraballo

Beginner2021-11-18Added 15 answers

Step 1
Given quadratic function is as below:
f(x)=3x2+5x7
Step 2
A standard vertex form is in the form shown below.
f(x)=a(xb)2+c
In order to rewrite into the standard (vertex) form you have to do complete the square first.
Step 3
To complete the square, follow the below steps:
f(x)=3x2+5x7
Take 3 common from 1st and 2nd term
f(x)=3(x2+53x)7
Rewrite the 2nd term
f(x)=3(x2+256x)7
Add and subtract (56)2 from inside the bracket
f(x)=3(x2+256x+(56)2(56)2)7
Complete the square using: a2+2ab+b2=(a+b)2
f(x)=3((x+56)2(56)2)7
Step 4
Simplify
f(x)=3(x+56)23(56)27
f(x)=3(x+56)2325367
f(x)=3(x+56)225127
f(x)=3(x+56)210912

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