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frosja888 [35]
3 years ago
14

For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0
We know that this is a parabola, as the equation is denoted by the x^2 term.

We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.

The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).

We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.

To sum it up, the answers are:

-2x^2 + 2x - 1.

AoS: x = -0.5

Vertex: (-0.5, -0.5).
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Question:

Convert the angle θ=260° to radians.

Express your answer exactly.

θ = ___ radians

Answer:

260° = 13π/9 or 4.54 rad

Step-by-step explanation:

Given

θ=260°

Required

Convert from degree to radians

To convert an angle in degrees to radians, we simply follow the steps below.

1° = 1 * π/180 rad

Replace the 1° with x

So,

x° = x * π/180 rad.

Now, we assume that x = 260

This means that we substitute 260 for x. This gives

260° = 260 * π/180

260° = 260π/180

Divide numerator and denominator by 20

260° = 13π/9

We can leave the answer in this form or solve further.

Take π as 22/7. This gives

260° = 13/9 * 22/7

260° = 286/63

260° = 4.5396825397

260° = 4.54 rad (Approximated)

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