Answer:
Linear equation: (-2,-6)
Quadratic Equation: y = [tex]x^2[/tex] +8x =12
Step-by-step explanation:
see Example image #1 for Linear Equation graph
See Example image #2 for Quadratic Equation graph
Quadratic Equation Explanation:
x = -2 an x = -6 are the two real distinct solutions for the quadratic equation, which means that x+2 and x+6 are the factors of the quadratic equation.
(
x
+
2
)
(
x
+
6
)
=
0
Expand (
x
+
2
)
(
x
+
6
) using the FOIL Method.
x
⋅
x
+
x
⋅
6
+
2
x
+
2
⋅
6
=
0
Simplify and combine like terms.
[tex]x^2[/tex]
+
8
x
+
12
=
0
The standard quadratic equation using the given set of solutions{
−
2
,
−
6
} is
y
=
[tex]x^2[/tex]
+
8
x
+
12
.
