Question

1. consider the function $f(x)=|x + 5|$. 10a does the graph of the function open upwards or downwards? upwards a downwards b

Explanation:

The general form of an absolute - value function is \(y = |x - h|+k\), where the coefficient of the absolute - value term (the number in front of \(|x - h|\)) determines the direction the graph opens. For the function \(f(x)=|x + 5|\), we can rewrite it as \(f(x)=|x-(- 5)|\) with a coefficient of \(1\) (which is positive) in front of the absolute - value expression. The graph of an absolute - value function \(y = a|x - h|+k\) opens upwards when \(a>0\) and downwards when \(a < 0\). Since \(a = 1>0\) for \(f(x)=|x + 5|\), the graph opens upwards.

Answer:

A. Upwards