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pls help (kinda easy)

A function is shown: f(x) = 4x2 − 1.

Choose the equivalent function that best shows the x-intercepts on the graph.

f(x) = (4x + 1)(4x − 1)
f(x) = (2x + 1)(2x − 1)
f(x) = 4(x2 + 1)
f(x) = 2(x2 − 1)

Respuesta :

Poltergeist

Answer:

[tex]f(x)=(2x+1)(2x-1)[/tex].

Step-by-step explanation:

We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form [tex](ax+b)(cx+d)[/tex] because then we can find the x-intercept in the following manner:

[tex](ax+b)(cx+d)=0[/tex]

[tex]x=-b/a[/tex]

[tex]x=-d/c[/tex]

We factor our function [tex]f(x)=4x^2-1[/tex] and get

[tex]\boxed{f(x)=(2x+1)(2x-1)}[/tex]

Now this form let's us easily find the x-intercepts:

[tex]x=-1/2[/tex]

[tex]x=1/2[/tex]

and so we pick the second choice: f(x)=(2x+1)(2x-1).

4804167154

Answer:

b

Step-by-step explanation:

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