First find out the function for the given table.
Find the slope.
m= (y2-y1)/(x2-x1)
m=(-1-(-3)) / (-1-(-2))
m=(-1+3) / (-1+2)
m=2/1
m=2
Now equation of line:
y-y1=m(x-x1)
y-(-3)=2(x-(-2))
y+3=2(x+2)
y+3=2x+4
y=2x+1
Now plot these points on the graph, we get the attached graph.

is a quadratic function, so its graph is a parabola.
Notice that the coefficient of x is 0, this always means that the axis of symmetry is the y-axis.
That is, the vertex of the parabola is in the y-axis, so the x-coordinate of the vertex is 0.
for x=0, y=-1. So the vertex is (0, -1)
The coefficient of

is negative. This means that the parabola opens downwards, so the vertex is a maximum.
Answer: (0, -1) , maximum (none of the choices)
4x^2 + 8x + 12
Equivalent forms: x^2 + 2x + 3 and 8x^2 + 16x + 24.
The first equivalent form was created by dividing each term by 2, and the second equivalent form was created by multiplying each term by 2.
Answer:
If using complex numbers, or undefined if using all real numbers
Step-by-step explanation:
Moving -8 to the left side of the eq by adding both sides by 8=
x^2-3x+8=0
The quad formula:
a=1 b=-3 c=8
Inserting a b c values into formula: 
Simplifying:
Since the square root of a negative number doesn't exist in the set of real numbers, the equation is undefined.
OR
Using complex numbers i, to replace the negative number created by subtracting 9-32.
Answer:
y=3
-47.5
Step-by-step explanation:
I did it in my notebook.