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Makovka662 [10]
1 year ago
12

NO LINKS!!

Mathematics
2 answers:
Leokris [45]1 year ago
7 0

Answer:

=> the passing point's y cord is lower than vertex, meaning it is a reflection
y=-a\left(x+h\right)^{2}-k

=>Apply the vertex to hk form
y=-a\left(x+4\right)^{2}-1
=> Find a by plugging X and Y of the passing through point

-3=-a\left(-2+4\right)^2-1

=> solve
-4a-1+1=-3+1

a=\frac{1}{2}

Therefore the equation for this is,

y=-\frac{1}{2}\left(x+4\right)^{2}-1

yan [13]1 year ago
6 0

Answer:

y=-\dfrac{1}{2}(x+4)^2-1

Step-by-step explanation:

Vertex form:  y=a(x-h)^2+k  

where:

  • (h, k) is the vertex
  • a is some constant

Given:

  • vertex = (-4, -1)
  • point on parabola = (-2, -3)

Substitute given values into the formula to find a:

\implies -3=a((-2)-(-4))^2+(-1)

\implies -3=a(2)^2-1

\implies -3=4a-1

\implies -2=4a

\implies a=-\dfrac{2}{4}=-\dfrac{1}{2}

Therefore, the equation of the parabola is:

y=-\dfrac{1}{2}(x+4)^2-1

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