PLEASE HELP ME SOME MORE MATH

1= equivalent

2= no

3= equivalent

4= no

-5

(-5,1)

(-∞,∞)

(1,∞)

X VALUE                      Y value

-5                                      1

-4                                       2

-3                                       5

-2                                       10

-1                                        17

Step-by-step explanation:

Let's first start off by finding the vertex

we have the following equation of a parabola

ax²+bx+c

to get the x coordinate of vertex we take

-b/2a

we have

-10/2= -5

we can now plug in x= -5 into our equation to get the y value

-5²+10(-5)+26

25-50+26

51

So the vertex is (-5,1)

The axis of symmetry is where you could split the line in half (AKA the x value of the vertex or -5)

The domain is all real numbers (-∞,∞)

Because this graph is concave up (the ax² is positive) we have a minimum which means that the y value of our vertex (1) is the lowest this graph will go

in other words the range is

(1,∞)

To solve the table I'm just going to plug in a bunch of numbers

X VALUE                      Y value

-5                                      1

-4                                       2

-3                                       5

-2                                       10

-1                                        17