Sketching Quadratic Graphs

Sketching Quadratic Graphs

Sketching quadratic graphs are drawn based on \( y=x^2 \) graph for transforming and translating.

YouTube player
YouTube player

Question 1

\(f(x) = (x-3)^2 \) is drawn and sketch the following graphs by transforming.

Quadratic-Graph-Q1

(a)   \( y = f(x)+2 \); Transforming upwards by \( 2 \) units

Quadratic-Graph-Q1a

(b)   \( y=f(x)-3 \); Transforming dowanwards by \( 3 \) units

Quadratic-Graph-Q1b

(c)   \(y=-f(x)\); Rotating by \(x\)-axis

Quadratic-Graph-Q1c

(d)   \(y=f(-x)\); Rotating by \(y\)-axis

Quadratic-Graph-Q1d

(e)   \(y=f(x+2)\); Transforming to the left by \( 2 \) units

Quadratic-Graph-Q1e

(f)   \(y=f(x-1)\); Transforming to the right by \( 1 \) unit

Quadratic-Graph-Q1f

(g)   \(y=f(x+4)-5\); Transforming to the left by \( 4 \) units and downwards by \( 5 \) units

Quadratic-Graph-Q1g

(h)   \(y=-f(x+2)\); Rotating to \(x\)-axis, then transforming to the left by \( 2 \) units

Quadratic-Graph-Q1h

(i)   \(y=2f(x)\)

Quadratic-Graph-Q1i

(j)   \( \displaystyle y=\frac{1}{2}f(x)\)

Quadratic-Graph-Q1j

(k)   \(y=-4f(x)\)

Quadratic-Graph-Q1k

(l)   \(y=3f(x+5)\)

Quadratic-Graph-Q1l

(m)   \(y=-f(x+6)-3\)

Quadratic-Graph-Q1m

(n)   \(y=2f(x)-4\)

Quadratic-Graph-Q1n

(o)   \(y=-2f(x+3)+1\)

Quadratic-Graph-Q1o

(p)   \(y=2f(-x)-2\)

Quadratic-Graph-Q1p

YouTube player
YouTube player

Question 2

(a)   \(y=(x-1)^2\)

Quadratic-Graph-Q2a

(b)   \(y=(x+2)^2\)

Quadratic-Graph-Q2b

(c)   \(y=(x+5)^2-3\)

Quadratic-Graph-Q2c

(d)   \(y=(x-4)^2+3\)

Quadratic-Graph-Q2d

(e)   \(y=-(x+2)^2\)

Quadratic-Graph-Q2e

(f)   \(y=-(x-3)^2\)

Quadratic-Graph-Q2f

(g)   \(y=-(x-3)^2+2\)

Quadratic-Graph-Q2g

(h)   \(y=-(x+4)^2-2\)

Quadratic-Graph-Q2h

 

Algebra Algebraic Fractions Arc Binomial Expansion Capacity Common Difference Common Ratio Differentiation Double-Angle Formula Equation Exponent Exponential Function Factorise Functions Geometric Sequence Geometric Series Index Laws Inequality Integration Kinematics Length Conversion Logarithm Logarithmic Functions Mass Conversion Mathematical Induction Measurement Perfect Square Perimeter Prime Factorisation Probability Product Rule Proof Pythagoras Theorem Quadratic Quadratic Factorise Ratio Rational Functions Sequence Sketching Graphs Surds Time Transformation Trigonometric Functions Trigonometric Properties Volume




Related Articles

Responses

Your email address will not be published. Required fields are marked *