Cubic Graph Sketching

Basics of Cubic Graph Sketching

Cubic Graph Sketching start considering from the \(x\)-intercepts and whether the leading coefficient is either positive or negative.

Question 1

Sketch the graph of \( y=(x-1)(x+2)(x-3) \).

Question 2

Sketch the graph of \( y=(x^2-2x)(x+3) \).

Question 3

Sketch the graph of \( y=(x+1)(x-2)^2 \).

Question 4

Sketch the graph of \( y=(x+1)^2(x-2) \).

Question 5

Sketch the graph of \( y=x^2(x+2) \).

Question 6

Sketch the graph of \( y=x(x+2)^2 \).

Question 7

Sketch the graph of \( y=-x^2(x-2) \).

Question 8

Sketch the graph of \( y=(x+1)^2(2-x) \).