Graph sketching when any of these($ax^2$ / $bx$ / $c$) is missing in $ax^2+bx+c$

Question

Sketch the graph of the following equations

1. $2x^2+5x+3$
2. $2x^2+5x$
3. $5x+3$
4. $2x^2+3$

I am a beginner in learning graph sketching. So I have been sketching only '$ax^2+bx+c$' this variation of equations lately. This idea just popped into my head what happens if '$ax^2$ / $bx$ / $c$' is missing from the typical equation which is $ax^2+bx+c$. So could anyone please show me how the curve changes its position when '$ax^2$ / $bx$ / $c$' is absent and solve the above equations for me as well?

Answer 1

If $bx$ or $c$ are missing, then you treat $b$ or $c$ as zero. If $ax^2$ is missing, then it is no longer a quadratic, it is just a line.