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Sagot :
Answer:
[tex] {y}^{2} = \frac{4}{3} x[/tex]
Step-by-step explanation:
Master equation:
[tex]y {}^{2} = 4 {ax}[/tex]
with point ( -3, -2 ):
[tex] {( - 2)}^{2} = 4a( - 3) \\ 4 = - 12a \\ a = - \frac{1}{3} [/tex]
Equation is:
[tex] {y}^{2} = \frac{4}{3} x[/tex]
Answer:
y = x² + 6x + 7
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, - 2 ) and with a = 1 , then
y = (x - (- 3) )² - 2
= (x + 3)² - 2 ← expand using FOIL
= x² + 6x + 9 - 2
y = x² + 6x + 7 ← equation of parabola
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