Answer:
The triangle is translated 2 units down and 4 units to the right.
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
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).
Answer:
2(5) + 3 = 13
Step-by-step explanation:
x=5
y=3
2x+y=13
2(5)+3=13
10 +3 =13