Respuesta :

P(x)=-4(x-15)2+2
P(x)=7
P(7)=-4(7-15)2+2
-4*7-4*-15
P(7)=-28+60+2+2
P(7)=92

The value of the function p(x) for x = 7 is -254

The function is given as:

[tex]\mathbf{p(x)=-4(x-15)^2+2}[/tex]

And the value of x is 7.

Substitute 7 for x in p(x)

[tex]\mathbf{p(7)=-4( 7-15)^2+2}[/tex]

Subtract 15 from 7

[tex]\mathbf{p(7)=-4(-8)^2+2}[/tex]

Tale square of -8

[tex]\mathbf{p(7)=-4 \times 64+2}[/tex]

Multiply -4 and 64

[tex]\mathbf{p(7)=-256+2}[/tex]

Add -256 and 2

[tex]\mathbf{p(7)=-254}[/tex]

Hence, the value of the function p(x) for x = 7 is -254

Read more about functions at:

https://brainly.com/question/20377847

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