Question

Find the vertex of this parabola: y = -x2 - 6x - 10

Answer 1

Answer:-10

Step-by-step explanation: The slope-intercept form is

y

=

m

x

+

b

y

=

m

x

+

b

, where

m

m

is the slope and

b

b

is the y-intercept.

y

=

m

x

+

b

y

=

m

x

+

b

Find the values of

m

m

and

b

b

using the form

y

=

m

x

+

b

y

=

m

x

+

b

.

m

=

−

6

m

=

-

6

b

=

−

10

b

=

-

10

The slope of the line is the value of

m

m

, and the y-intercept is the value of

b

b

.

Slope:

−

6

-

6

y-intercept:

−

10

Answer 2

To find the vertex you need to use the formula
-b
——
2a
So for this problem that would be:

-(-6)
——— = x= -3
2(-1)

Now that you have x, to find y you need to just simply plug the number that you got for x back into the original equation and solve. Like this-

y= -(-3)2-6(-3)-10

y= 6+18-10

y= 4

This means that your vertex is (-3, 4).
I’m not sure if the 2 next to the x is meant to be squared instead of just 2, so let me know if it was meant to be that and I’d be happy to redo it for you!
Hope this helped! If it did I would appreciate it if you considered marking me brainliest!