Dexter graphs a quadratic function on a math test. The

Serotoninl7

Serotoninl7

Answered question

2021-12-05

Dexter graphs a quadratic function on a math test. The graph of the function crosses the x-axis at values of -3 and 6. If Dexter graphs the function correctly, which equation could represent the quadratic function?
a) f(x)=x23x18
b) f(x)=x2+3x+18
c) f(x)=x29x18
d) f(x)=x2+9x+18

Answer & Explanation

tnie54

tnie54

Beginner2021-12-06Added 18 answers

Step 1
We know, if a quadratic function crosses the x-axis at values of a and b then the function is
f(x)=(xa)(xb)
or, f(x)=x2bxax+ab
or, f(x)=x2(a+b)x+ab
Step 2
Given the quadratic function crosses the x-axis at values of -3 and 6.
So, a=2, b=6
f(x)=x2(3+6)x+(3)6
f(x)=x23x18

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