Answer:
[tex]\frac{1}{49}[/tex]
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) = (- 3, - 1), thus
y = a(x + 3)² - 1
To find a substitute (4, 0) into the equation
0 = 49a - 1 ( add 1 to both sides )
49a = 1 ( divide both sides by 49 )
a = [tex]\frac{1}{49}[/tex]
y = [tex]\frac{1}{49}[/tex](x + 3)² - 1
coefficient of the x² term is [tex]\frac{1}{49}[/tex]
