A function is shown: f(x)=36x2−1.Choose the equivalent function that best shows the x-intercepts on the graph. (1 point)f(x)=18(x2−1)f(x)=(18x+1)(18x−1)f(x)=6(x2+1)f(x)=(6x+1)(6x−1)
Q. A function is shown: f(x)=36x2−1.Choose the equivalent function that best shows the x-intercepts on the graph. (1 point)f(x)=18(x2−1)f(x)=(18x+1)(18x−1)f(x)=6(x2+1)f(x)=(6x+1)(6x−1)
Factor using difference of squares: Factor the equation using the difference of squares formula, which is a2−b2=(a+b)(a−b). f(x)=36x2−1 can be written as f(x)=(6x)2−(1)2.
Apply formula: Apply the difference of squares formula to get f(x)=(6x+1)(6x−1).This shows the x-intercepts at x=−61 and x=61.
Check answer choices: Check the answer choices to find the equivalent function.The correct choice is f(x)=(6x+1)(6x−1).
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