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Neporo4naja [7]
4 years ago
7

What is the equation of the translated function, g(x), if f(x) = x2?

Mathematics
1 answer:
Eddi Din [679]4 years ago
6 0

All of these would be translated versions of f(x).


A translated version is simply one in which the base equation is used and then moved. Each of these equations are quadratics with a starting term of x^2. All of them move up and down or side to side in some way and direction, but all of them would be translated versions of that graph.

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-5x-4=46
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The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
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The coordinates of the vertex are (-5, 41)

Step-by-step explanation:

For a quadratic function of the form

f(x) = ax ^ 2 + bx + c

Where a, b and c are constants and represent the coefficients of the function, then the symmetry of the parabola always passes through its vertex.

In this case we have the following parabola

f (x) = -x2 - 10x + 16

And we know that its axis of symmetry is the line x = -5

Then we know that this axis of symmetry passes through the vertex of the parabola.

Therefore, the x coordinate of the vertex is -5.

To find the coordinate in y of the vertex, we substitute x = -5 in the function.

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