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Graph the following function

f(x)=-3x-4

Graph the following function $\newline$ $f(x)=-3 x-4$

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Find the vertex of the transformed function

Full solution

Q. Graph the following function

\newline

f(x)=-3 x-4

Identify Function Type: Identify the type of function to graph. $\newline$ $f(x) = -3x - 4$ is a linear function in the form $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Determine Slope and Y-Intercept: Determine the slope and y-intercept from the equation. $\newline$ Slope $m$ = $-3$ , y-intercept $b$ = $-4$ .
Plot Y-Intercept: Plot the $y$ -intercept on the graph. $\newline$ The $y$ -intercept is the point $(0, -4)$ . Start by plotting this point on the graph.
Use Slope for Another Point: Use the slope to find another point. $\newline$ From the y-intercept $(0, -4)$ , move $1$ unit to the right (positive direction along the x-axis) and $3$ units down (since the slope is $-3$ ). This leads to the point $(1, -7)$ .
Plot Second Point and Draw Line: Plot the second point and draw the line. $\newline$ Plot the point $(1, -7)$ on the graph. Draw a straight line through the points $(0, -4)$ and $(1, -7)$ .

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