Answer:
B. The maximum occurs at the function's x-intercept.
Step-by-step explanation:
Given table:
![\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7B%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%7D%5Ccline%7B1-7%7D%20x%20%26%20-5%20%26%20-4%20%26%20-3%20%26%20-2%20%26%20-1%20%26%200%5C%5C%5Ccline%7B1-7%7D%20g%28x%29%20%26%20-1%20%26%200%20%26%20-1%20%26%20-4%20%26%20-9%20%26%20-16%5C%5C%5Ccline%7B1-7%7D%5Cend%7Barray%7D)
From inspection of the table, we can see that:
and![g(-3) = -1](https://tex.z-dn.net/?f=g%28-3%29%20%3D%20-1)
This indicates <u>symmetry</u>.
The line of symmetry is the mid-point between the two x-values.
Therefore, the <u>line of symmetry</u> is x = -4
The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a <u>maximum</u>.
As the y-value of the vertex is 0, the maximum occurs at the function's <u>x-intercept</u>.
Answer:
<u>Yes</u>
Step-by-step explanation:
2 sides are equal as well as one angle being equal, so we know that the other angles must be equal, along with the other side.
Linear, decrease by 2 for every decrease of x.
1,000 + 1 =1,001 + 2 = 1,002
I hope this helps