Answer:
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) = (2, - 4), thus
y = a(x - 2)² - 4
To find a substitute (- 3, - 3) into the equation
- 3 = a(- 3 - 2)² - 4
- 3 = 25a - 4 ( add 4 to both sides )
1 = 25a ( divide both sides by 25 ), hence
a = [tex]\frac{1}{25}[/tex]
y = [tex]\frac{1}{25}[/tex] (x - 2)² - 4 ← in vertex form
= [tex]\frac{1}{25}[/tex] (x² - 4x + 4) - 4 ← in expanded form
Hence the coefficient of the x² term is [tex]\frac{1}{25}[/tex]
