Question

find the y-intercept, the axis of symmetry, and the vertex of the graph of the function f(x)=0.6x² - 3.6x the y-intercept is (type an ordered pair.)

Explanation:

Step1: Recall y - intercept definition

The y - intercept of a function \(y = f(x)\) is the point where the graph of the function intersects the y - axis. On the y - axis, the \(x\) - coordinate is \(0\). So, to find the y - intercept, we substitute \(x = 0\) into the function \(f(x)=0.6x^{2}-3.6x\).

Step2: Substitute \(x = 0\) into the function

Substitute \(x = 0\) into \(f(x)=0.6x^{2}-3.6x\):
\(f(0)=0.6\times(0)^{2}-3.6\times(0)\)
Since any number multiplied by \(0\) is \(0\), we have \(0.6\times0 = 0\) and \(3.6\times0=0\). So \(f(0)=0 - 0=0\).

The ordered pair for the y - intercept is \((x,f(x))=(0,0)\) when \(x = 0\).

Answer:

\((0,0)\)