Determine the equation of the function shown. A) f(x) = -x² + 1 B) f(x) = -x² - 1 C) f(x) = -(x + 1)² D) f(x) = -(x - 1)²

Question

Quizplus · Accepted Answer

The graph shows a downward sloping line that intercepts the y-axis at 1. The line has a slope of -1, which means that for every increase of 1 in x, the y-value decreases by 1. Therefore, the equation of the line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values from the graph, we get y = -x + 1. This equation can be rewritten as y = -(x - 1), which matches choice D.

Determine the Equation of the Function Shown