Can you square root a negative number? Why or why not?
2 answers:
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Answer: see image
<u>Step-by-step explanation:</u>
Draw line x = 3. Count how many units each point is away from line x = 3. Plot the new point the same number of units away from line x = 3 but in the opposite direction.
Point G is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.
Point F is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.
Point E is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.
Point H is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.
Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of , it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex =
Where,
is the coefficient of
is the coefficient of
From our equation given, and
Now, coordinate of vertex is
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the
value [
] into the equation. So we have:
Hence, the range would be all numbers greater than or equal to
Third answer choice is the right one.
