# Sketching Graphs

# Natural Exponential Graphs

# Exponential Graphs

Functions of the form exponential, where the base is a positive real number other than 1 are called exponential graphs or exponential functions.

# Quartic Graph Sketching

Share0 Share +10 Tweet0 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 […]

# Cubic Graph Sketching

Share0 Share +10 Tweet0 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 […]

# Sketching Quadratic Graphs

Share0 Share +10 Tweet0 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 \(y=f(-x)\) […]