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vodka [1.7K]
3 years ago
9

use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y=x^2+x+6

Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

(-1/2, 23/4)

Step-by-step explanation:

Vertex of graph: -b/2a

b=1

a=1

Therefore, -1/2 is your x-value

Solve for y: y=1/4-1/2+6

y=5 3/4 or 23/4

Therefore your vertex is: (-1/2, 23/4)

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Answer:

Step-by-step explanation:

A ' = (-2, -3)

B ' = (0, -3)

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=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

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