What is the vertex of the quadratic function given in the table?

Mathematics

2 answers:

likoan [24]2 years ago

7 0

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

kompoz [17]2 years ago

5 0

The function forms a parabola which has an axis of symmetry through the vertex.
The y values are symmetric either side of x = -3 so the vertex is at (-3, -2)
This is enough information to identify the function is y =(x + 3)^2 - 2

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8. Find the measure of each numbered angle in the figure.

Nesterboy [21]

Answer:

m∠1 = 85°, m∠2 = 85°, m∠3 = 64°, m∠4 = 31°

Step-by-step explanation:

1. Since ∠3 and the angle labeled 64° are vertical, they are congruent, therefore m∠3 = 64°

2. By the same logic, since ∠4 and the angle labeled 31° are vertical, they are also congruent, meaning m∠4 = 31°

3. ∠4, ∠1, and 64° make up 180°, thus a straight line around them, so m∠1 + 31° + 64° = 180° --> m∠1 = 85°

4. ∠1 and ∠2 are vertical, so they are congruent, meaning m∠2 = 85°

4 0

3 years ago