# Quartic Graph Sketching

Quartic Graph Sketching is based on their concavities and x-intercepts to determine the basic shape of the quartic graphs.

### Question 1 of Quartic Graph Sketching

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

### Question 2

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

### Question 3

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

### Question 4

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

### Question 5

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

### Question 6

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

### Question 7

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

### Question 8

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

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