How do you write the equation of the parabola in vertex form given the vertex (-2, -8) and passes through the point (7, -494)?

Answer 1

# y =- 6(x+2)^2 - 8 #

In vertex form, a parabola's equation is

# y = a(x - h)^2 + k# where (h , k ) are the coords of the vertex.

Here, the vertex's coordinates are provided, so

# y = a(x + 2 )^2 - 8#

In addition, since the parabola passes through point (7, -494), enter x = 7 and y = -494 into the equation to find the value of a.

hence #-494 = 81a - 8 → a = -6#
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Answer 2

The equation of a parabola in vertex form is ( y = a(x - h)^2 + k ), where (h, k) is the vertex. Substituting the given vertex (-2, -8), we have ( y = a(x + 2)^2 - 8 ). To find 'a', substitute the point (7, -494) into the equation and solve for 'a'. ( -494 = a(7 + 2)^2 - 8 ) leads to ( a = -2 ). Thus, the equation of the parabola is ( y = -2(x + 2)^2 - 8 ).

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Answer 3

The equation of a parabola in vertex form is ( y = a(x - h)^2 + k ), where ( (h, k) ) is the vertex. Substituting the given vertex ( (-2, -8) ), we have ( y = a(x + 2)^2 - 8 ). To find ( a ), substitute the point ( (7, -494) ) into the equation and solve for ( a ).

[ -494 = a(7 + 2)^2 - 8 ]

[ -494 = a(9)^2 - 8 ]

[ -494 = 81a - 8 ]

[ -486 = 81a ]

[ a = -6 ]

Therefore, the equation of the parabola in vertex form is ( y = -6(x + 2)^2 - 8 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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