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elixir [45]
2 years ago
8

Consider the quadratic function y = 0.3 (x-4)2 - 2.5 Determine the axis of symmetry, x =

Mathematics
1 answer:
fomenos2 years ago
5 0

Answer:

x=4

Step-by-step explanation:

We have the quadratic function:

\displaystyle y=0.3(x-4)^2-2.5

And we want to determine its axis of symmetry.

Notice that this is in vertex form:

y=a(x-h)^2+k

Where (<em>h, k</em>) is the vertex of the parabola.

From our function, we can see that <em>h</em> = 4 and <em>k</em> = -2.5. Hence, our vertex is the point (4, -2.5).

The axis of symmetry is equivalent to the <em>x-</em>coordinate of the vertex.

The <em>x-</em>coordinate of the vertex is 4.

Therefore, the axis of symmetry is <em>x</em> = 4.

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