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Mathematics 18 Online
imbadatmath:

1. The axis of symmetry for the function y = -x2 - 10x + 16 is x = -5. What are the coordinates of the vertex of the graph? Put -5 in for x and solve for y

dude:

This is pretty straightforward They gave you a critical hint onto what you should be doing: `Put -5 in for x and solve for y` That said, the equation they are giving you is: \(y = -x^2 - 10x + 16\) \(y = -(5)^2 - 10(5) + 16\) Do you know how to solve this?

imbadatmath:

not really

imbadatmath:

i tryed that and it sayed it was wrong

imbadatmath:

i got 1 more attempt

dude:

Oh I missed the -5 \(y = -(-5)^2 - 10(-5) + 16\) Hmm did you do -5 or 5?

imbadatmath:

-5

dude:

What did you get when solving for y?

imbadatmath:

i got -9

dude:

Hmm that doesn't look right You should try it again. If you'd like you can show your process here and I can help you noting your mistakes

imbadatmath:

ok

441204:

Tbh I would do what’s in the parentheses 1st

imbadatmath:

(-5)² =-10 then (-10) -(-10)(-5)

imbadatmath:

plus 16

imbadatmath:

and i got -9

dude:

Ah theres your mistake -5^2 is not -5* 2 -5^2 is -5*-5

imbadatmath:

oh

441204:

Lol it’s exponents

imbadatmath:

(-25)(-10)-(-10)(-5)+16 then i got -34

441204:

Ay i see what u did there but again honestly I would do what’s in the parentheses first and then rewrite the problem over with what u u got doing the parentheses

imbadatmath:

i did that and still got -34

441204:

y=-25-50+16 is what I got lol

imbadatmath:

then you get -59

dude:

441204, careful \(y = -(-5)^2 - 10(-5) + 16\) Theres a negative infront of the \(-5^2\) \(y = \color{red}{-}25 - 10(-5) + 16\) Then you also have to account for -10 * -5 both being negative \(y = -25 +50 + 16\)

imbadatmath:

y=41 ?

dude:

Yes that should be your y value

dude:

They are asking for the coordinate now

imbadatmath:

i dont even know how to find that

dude:

No more steps to this Just write the x and y as (x, y)

imbadatmath:

so -5,41

dude:

Yeah (-5, 41)

imbadatmath:

thank u

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