# 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 $$y=x(x^2-x)(x-2)(x+3)$$. Question 3 Sketch the graph of $$y=x^2(x-3)(x+3)$$. Question 4 Sketch the graph […]

# 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 […]

# Sketching Quadratic Graphs

Sketching Quadratic Graphs using Transfomration Sketching Quadratic Graphs are drawn based on $$y=x^2$$ graph for transforming and translating. $$y = (x-3)^2$$ is drawn and sketch the following graphs by transforming. $$f(x)=(x-3)^2$$ $$y=f(x)+2$$ Transforming upwards by 2 units $$y=f(x)-3$$ Transforming dowanwards by 3 units $$y=-f(x)$$ Rotating by $$x$$-axis $$y=f(-x)$$ Rotating by $$y$$-axis $$y=f(x+2)$$ […]