7. Suppose a parabola has vertex (-4,7) and also passes through the point (-3,8). What is the equation
of the parabola in vertex form?
y=(x+4)^2 +7
y= 2(x+4)^2 +7
y= 2(x+3)^2 +8
y=(x-4)^2 +7

9514 1404 393

Answer:

  (a)  y=(x+4)^2 +7

Step-by-step explanation:

The vertex form equation is ...

  y = a(x -h)^2 +k

for vertex (h, k) and vertical scale factor 'a'.

The vertex is given as (h, k) = (-4, 7), so the equation will be ...

  y = a(x +4)^2 +7

The value of 'a' can be found from the other given point:

  8 = a(-3+4)^2 +7

  1 = a

So, the equation is ...

  y = (x +4)^2 +7

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