Answer:
Step-by-step explanation:
Given
← factorise numerator and denominator
2x² - 18 ( factor out 2 from each term )
= 2(x² - 9) ← difference of 2 squares
= 2(x - 3)(x + 3)
and
x² + 4x - 21 = (x + 7)(x - 3) , then
= 
← cancel common factor (x - 3) on numerator/ denominator
=
Vertical Asymptotes:
x
=
7
x
=
7
Horizontal Asymptotes:
y
=
2
y
=
2
No Oblique Asymptotes
The quadratic equation
can be written in the form:
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
Finally, distribute and combine like terms to put it in standard form.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y) → (x, - y), hence
A(- 6, 2) → A'(- 6, - 2)
B(- 9, 1) → B'(- 9, - 1)
C(1, - 6) → C'(1, 6)
