Mathematics
10.07.2020 12:08
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Write an equation of the parabola that has the same shape as the graph of f(x) =

Write an equation of the parabola that has the same shape as the graph of f(x) = 8x^2, but with (6,6) as the vertex g(x)= (simplify your answer.)
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sierram298
sierram298
4,4(7 marks)

g(x) = 8(x-6)^{2} +6

Step-by-step explanation:

General equation of a parabola:

y - y_{0} =a(x-x_{0})^{2}

Where:

V = (x_{0} ,y_{0}) is the vertex of the parabola

a is the shape of the parabola

Known equation: f(x) = 8x^{2}

Known information:

V = (0, 0)

a = 8

With this information we write the equation like this:

y-0 =8(x-0)^{2}

Equation requested: g(x) = ?

Known information:

V = (6, 6)

a = 8

With this information we write the equation like this:

y-6=8(x-6)^{2}

Then,

g(x) = 8(x-6)^{2} +6

gigi1229
gigi1229
4,5(17 marks)

Step-by-step explanation:

7/2

=3.5

10/8

=1.25

Hence, 3.5>1.25

Therefore, 7/2>10/8

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