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

ikavumacj

ikavumacj

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)3702301002013023032040530

Answer & Explanation

Oung1985

Oung1985

Beginner2021-11-27Added 16 answers

Step 1
Given,
xf(x)3702301002013023032040530
Step 2
The table gives the x and y intercepts, which are srifficient to write equation in frictored form
The x-intercept -1 and 4 tell you that fuctor ax (x+1)(x4). When x=0, this product is (1)(4)=4, brit the y-intercept value is 5 times that: -20
There for, the functored equation,
F(x)=5(x+1)(x4)
Multiply this out,
F(x)=5(x24x+x4)
=5(x23x4)
F(x)=5x215x20
f(x)=5x215x20

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