The function f(x) is a quadratic function and a limited table of value

Fenian41

Fenian41

Answered question

2021-11-26

The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic polynomial in standard form.
xf(x)574035281908152037

Answer & Explanation

Vincent Diaz

Vincent Diaz

Beginner2021-11-27Added 19 answers

Step 1
Given
The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic polynomial in standard form
xf(x)574035281908152037
The table gives x and y intercepts which are sufficient to write the
Step 2
Take x intercepts at y=0, x is at -4 and 2
(x(4))(x2)(x+4)(x2)
when x=0
(0+4)(02)=4(2)=8
Given table
at x=0, y=8
There fore, f(x)=(x+4)(x2)
=x(x2)+4(x2)
=x22x+4x8
f(x)=x2+2x8
Standard form of quadratic polynomial is
f(x)=x2+2x8

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