Which of the following are properties of the circumcenter of a triangle? Check all that apply.
2 answers:
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Part A)
Recall that:
1) The function represented by the graph of the function f(x) translated vertically n units up and horizontally m units left is:
2) The function represented by the graph of the function f(x) reflected over the x-axis is:
Now, notice that g(x) is the function f(x) reflected over the x-axis and then translated vertically 6 units up and horizontally 4 units left.
Answer Part A:
Options B, C, and D.
Part B) To graph g(x) we will reflect the graph of f(x) over the x-axis and then we will translate it vertically 6 units up and horizontally 4 units left.
We know that the graph of f(x)=|x| is:
The above graph reflected over the x-axis is:
Finally, the above graph translated vertically 6 units up and horizontally 4 units left is:
Answer part B:
Answer:
The degree of a polynomial refers to the highest degree of its individual terms having non-zero coefficients.
Step-by-step explanation:
The degree of a polynomial refers to the highest degree of its individual terms having non-zero coefficients. For example;
A quadratic polynomial is a polynomial of degree 2. This polynomial takes the general form;
where a, b, and c are constants. This is usually referred to as a quadratic polynomial in x since x is the variable. The highest power of x in the polynomial is 2, hence the degree of any quadratic polynomial is 2.
A second example, consider the cubic polynomial;
The degree of this polynomial is 3.