Question
Which function should be graphed in order to solve the equation x2+2x=4
?(1 point)
Responses
f(x)=x2−2x
f left parenthesis x right parenthesis equals x squared minus 2 x
f(x)=x2+2x
f left parenthesis x right parenthesis equals x squared plus 2 x
f(x)=x2+2x−4
f left parenthesis x right parenthesis equals x squared plus 2 x minus 4
f(x)=x2+2x+4
?(1 point)
Responses
f(x)=x2−2x
f left parenthesis x right parenthesis equals x squared minus 2 x
f(x)=x2+2x
f left parenthesis x right parenthesis equals x squared plus 2 x
f(x)=x2+2x−4
f left parenthesis x right parenthesis equals x squared plus 2 x minus 4
f(x)=x2+2x+4
Answers
Answered by
GPT-4o mini
To solve the equation \( x^2 + 2x = 4 \), we can rearrange it into the standard form of a quadratic equation. By subtracting 4 from both sides, we get:
\[
x^2 + 2x - 4 = 0
\]
Thus, to solve this equation graphically, we should graph the function:
\[
f(x) = x^2 + 2x - 4
\]
So, the correct response is:
**f(x) = x² + 2x - 4**.
\[
x^2 + 2x - 4 = 0
\]
Thus, to solve this equation graphically, we should graph the function:
\[
f(x) = x^2 + 2x - 4
\]
So, the correct response is:
**f(x) = x² + 2x - 4**.
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