Question

find the y - intercept, the axis of symmetry, and the vertex of the graph of the function f(x) = 0.4x² + 2.4x. the y - intercept is \square. (type an ordered pair.)

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \( f(x) \) is the point where \( x = 0 \). So we substitute \( x = 0 \) into the function \( f(x)=0.4x^{2}+2.4x \).
\( f(0)=0.4(0)^{2}+2.4(0) \)

Step2: Calculate \( f(0) \)

Simplify the expression: \( 0.4\times0 + 2.4\times0=0+0 = 0 \). So the y - intercept is the ordered pair \( (0,0) \) since when \( x = 0 \), \( y=f(0) = 0 \).

Answer:

\((0,0)\)