Explain the connections between quadratic functions and quadratic equations that

Brittney Lord

Brittney Lord

Answered question

2021-11-09

Explain the connections between quadratic functions and quadratic equations that contains the following:
a) A representative function for a quadratic equation with solutions of 2 and 6.
b) A table of ordered pairs of a representative function for a quadratic equation with solutions of 2 and 6, with the zeros of the function included and circled.

Answer & Explanation

avortarF

avortarF

Skilled2021-11-10Added 113 answers

Step 1
Part (a)
Let quadratic function f(x)
Let qusdratic equation f(x)=0
For solution of 2 and 6
quadratic fynction
f(x)=(x2)(x6)
=x26x2x+12
f(x)=x28x+12
And quadratic equation
f(x)=0
x28x+12=0
Step 2
Part (b)
Solutions of a quadratic equation are 2 and 6
equationn: (x2)(x6)=0
=x28x+12=0
And function:
y=x28x+12
Zeroes of function are x=2 and x=6
x102236y51203230

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