+700 awesome explanation hectictar! ! !
ok so here's the trick for these though:
remember just like hectictar said: "Replace every x with -2"
We know that we have a function: \(g(x) = -4x^2 -3x + 2 \)
and you also need to be very careful with PEMDAS
now! plug in -2 everywhere you see x
and solve!!
essentially just think of your g(x) as your y value.......
imagine a graph and i gave you the x coordinate (which you plugged in to your g(x) shhhh) and asked you to find the y coordinate
how would you locate the y coordinate given the x coordinate of your point? :)
but what if you were given \(f(x)=3x+5x-2+x^2\)
and told to find the \(f(-3)\)
can you tell me how that would work K19? :D
+9479 g(x) = -4x2 - 3x + 2
Replace every x with -2
g(-2) = -4(-2)2 - 3(-2) + 2
Now what do you get if you calculate the right side of that equation?
+9479 Very close!! But be careful with your negative signs!
g(-2) = -4(-2)2 - 3(-2) + 2
Negative two squared is equal to positive four.
g(-2) = -4(4) - 3(-2) + 2
Negative four times positive four equals negative sixteen.
g(-2) = -16 - 3(-2) + 2
Negative three times negative two equals positive six.
g(-2) = -16 + 6 + 2
Now just calculate negative sixteen plus six plus two!
