Answer:
a. x= -4 x=2
b. (-1,-9)
c. [-9,∞)
d. x=-1
Step-by-step explanation:
To find the roots or x intercepts, you set the parabola equal to 0 and solve.
0=[tex]x^{2}[/tex]+2x-8 which will equal (x+4)(x-2) so x= -4, 2
To find the vertex you will do [tex]\frac{-b}{2a}[/tex], a=1 and b=2 so
[tex]\frac{-2}{2(1)}[/tex] which equals x= -1, to find the y value, you will plug x into the equation
y=[tex](-1)^{2}[/tex]+2(-1)-8 which means y=-9 so the vertex is (-1,-9)
The range is bottom to top so it is [-9,∞)
the AOS is equal to the x value of the vertex so x= -1
