Need some help with this matrices question
1 answer:
Answer:
4. D
5. D
Step-by-step explanation:
To subtract Matrices, subtract the numbers that are in the same position.
You can only add or subtract Matrices that have the same order.
Here, both Matrix X and Y, are 2 by 2 matrices.
So let's subtract
The Matrix that matches that is D so the answer to 4 is D.
5. We do the same thing above, but we multiply by 2 first.
The answer here is D as well.
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Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function </u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:
We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:
Thus if we add and subtract 1:
Operating:
The trinomial in parentheses is a perfect square:
Adding 4:
Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).