Answer:
The squared term is 1/25
Step-by-step explanation:
The parabola equation in the vertex form is
[tex] y = a \times (x - h)^2 + k [/tex]
where point (h,k) is the vertex and a is the squared term. In this case h = 2 and k = -4. On the other hand, we know that y = -3 and x = -3 are in the parabola. Replacing these values in the formula gives
[tex] -3 = a \times (-3 - 2)^2 - 4 [/tex]
Solving for a
[tex] -3 + 4 = a \times (-5)^2 [/tex]
[tex] 1 = a \times 25 [/tex]
[tex] a = \frac{1}{25}[/tex]
