Answer:
-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
