Answer:
y = [tex]\frac{11}{4}[/tex](x + 6)² - 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 5), thus
y = a(x + 6)² - 5
To find a substitute (- 8, 6) into the equation
6 = a(- 2)² - 5
6 = 4a - 5 ( add 5 to both sides )
11 = 4a ( divide both sides by 4 )
a = [tex]\frac{11}{4}[/tex], thus
y = [tex]\frac{11}{4}[/tex](x + 6)² - 5 ← in vertex form
